Least Common Multiple of 306453 and 306460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306453 and 306460 the smallest integer that is 13416512340 that is divisible by both numbers.

Least Common Multiple (LCM) of 306453 and 306460 is 13416512340.

LCM(306453,306460) = 13416512340

LCM of 306453 and 306460

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

LCM of:
and

Least Common Multiple of 306453 and 306460

LCM of 306453 and 306460 is 13416512340

Least common multiple can be found by multiplying the highest exponent prime factors of 306453 and 306460. First we will calculate the prime factors of 306453 and 306460.

Prime Factorization of 306453


3 306453
7 102151
14593 14593
1

Prime factors of 306453 are 3, 7,14593. Prime factorization of 306453 in exponential form is:

306453 = 31×71×145931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 306453 and 306460.

LCM(306453,306460) = 22×31×51×71×111×1991×145931
LCM(306453,306460) = 13416512340

Factors of 306453

List of positive integer factors of 306453 that divides 306453 without a remainder.

1, 3, 7, 21, 14593, 43779, 102151, 306453

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

Least Common Multiple of 306453 and 306460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306453 and 306460, than apply into the LCM equation.

GCF(306453,306460) = 7
LCM(306453,306460) = ( 306453 × 306460) / 7
LCM(306453,306460) = 93915586380 / 7
LCM(306453,306460) = 13416512340

Properties of LCM 306453 and 306460

(i) The LCM of 306460 and 306453 is associative

LCM of 306453 and 306460 = LCM of 306460 and 306453

Related Least Common Multiples of 306453

Related Least Common Multiples of 306460

Frequently Asked Questions on LCM of 306453 and 306460

1. What is the LCM of 306453 and 306460?

Answer: LCM of 306453 and 306460 is 13416512340.

2. What are the Factors of 306453?

Answer: Factors of 306453 are 1, 3, 7, 21, 14593, 43779, 102151, 306453. There are 8 integers that are factors of 306453. The greatest factor of 306453 is 306453.

3. 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.

4. How to Find the LCM of 306453 and 306460?

Answer:

Least Common Multiple of 306453 and 306460 = 13416512340

Step 1: Find the prime factorization of 306453

306453 = 3 x 7 x 14593

Step 2: Find the prime factorization of 306460

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

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

LCM = 13416512340 = 2 x 2 x 3 x 5 x 7 x 11 x 199 x 14593

Step 4: Therefore, the least common multiple of 306453 and 306460 is 13416512340.