Least Common Multiple of 306460 and 306464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306460 and 306464 the smallest integer that is 23479739360 that is divisible by both numbers.

Least Common Multiple (LCM) of 306460 and 306464 is 23479739360.

LCM(306460,306464) = 23479739360

LCM of 306460 and 306464

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 306460 and 306464

LCM of 306460 and 306464 is 23479739360

Least common multiple can be found by multiplying the highest exponent prime factors of 306460 and 306464. First we will calculate the prime factors of 306460 and 306464.

Prime Factorization of 306460


2 306460
2 153230
5 76615
7 15323
11 2189
199 199
1

Prime factors of 306460 are 2, 5, 7, 11,199. Prime factorization of 306460 in exponential form is:

306460 = 22×51×71×111×1991

Prime Factorization of 306464


2 306464
2 153232
2 76616
2 38308
2 19154
61 9577
157 157
1

Prime factors of 306464 are 2, 61,157. Prime factorization of 306464 in exponential form is:

306464 = 25×611×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 306460 and 306464.

LCM(306460,306464) = 25×51×71×111×611×1571×1991
LCM(306460,306464) = 23479739360

Factors of 306460

List of positive integer factors of 306460 that divides 306460 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 199, 220, 308, 385, 398, 770, 796, 995, 1393, 1540, 1990, 2189, 2786, 3980, 4378, 5572, 6965, 8756, 10945, 13930, 15323, 21890, 27860, 30646, 43780, 61292, 76615, 153230, 306460

Factors of 306464

List of positive integer factors of 306464 that divides 306464 without a remainder.

1, 2, 4, 8, 16, 32, 61, 122, 157, 244, 314, 488, 628, 976, 1256, 1952, 2512, 5024, 9577, 19154, 38308, 76616, 153232, 306464

Least Common Multiple of 306460 and 306464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306460 and 306464, than apply into the LCM equation.

GCF(306460,306464) = 4
LCM(306460,306464) = ( 306460 × 306464) / 4
LCM(306460,306464) = 93918957440 / 4
LCM(306460,306464) = 23479739360

Properties of LCM 306460 and 306464

(i) The LCM of 306464 and 306460 is associative

LCM of 306460 and 306464 = LCM of 306464 and 306460

Related Least Common Multiples of 306460

Related Least Common Multiples of 306464

Frequently Asked Questions on LCM of 306460 and 306464

1. What is the LCM of 306460 and 306464?

Answer: LCM of 306460 and 306464 is 23479739360.

2. What are the Factors of 306460?

Answer: Factors of 306460 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 199, 220, 308, 385, 398, 770, 796, 995, 1393, 1540, 1990, 2189, 2786, 3980, 4378, 5572, 6965, 8756, 10945, 13930, 15323, 21890, 27860, 30646, 43780, 61292, 76615, 153230, 306460. There are 48 integers that are factors of 306460. The greatest factor of 306460 is 306460.

3. What are the Factors of 306464?

Answer: Factors of 306464 are 1, 2, 4, 8, 16, 32, 61, 122, 157, 244, 314, 488, 628, 976, 1256, 1952, 2512, 5024, 9577, 19154, 38308, 76616, 153232, 306464. There are 24 integers that are factors of 306464. The greatest factor of 306464 is 306464.

4. How to Find the LCM of 306460 and 306464?

Answer:

Least Common Multiple of 306460 and 306464 = 23479739360

Step 1: Find the prime factorization of 306460

306460 = 2 x 2 x 5 x 7 x 11 x 199

Step 2: Find the prime factorization of 306464

306464 = 2 x 2 x 2 x 2 x 2 x 61 x 157

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23479739360 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 61 x 157 x 199

Step 4: Therefore, the least common multiple of 306460 and 306464 is 23479739360.