Least Common Multiple of 309440 and 309446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309440 and 309446 the smallest integer that is 47877485120 that is divisible by both numbers.

Least Common Multiple (LCM) of 309440 and 309446 is 47877485120.

LCM(309440,309446) = 47877485120

LCM of 309440 and 309446

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

LCM of:
and

Least Common Multiple of 309440 and 309446

LCM of 309440 and 309446 is 47877485120

Least common multiple can be found by multiplying the highest exponent prime factors of 309440 and 309446. First we will calculate the prime factors of 309440 and 309446.

Prime Factorization of 309440


2 309440
2 154720
2 77360
2 38680
2 19340
2 9670
5 4835
967 967
1

Prime factors of 309440 are 2, 5,967. Prime factorization of 309440 in exponential form is:

309440 = 26×51×9671

Prime Factorization of 309446


2 309446
154723 154723
1

Prime factors of 309446 are 2,154723. Prime factorization of 309446 in exponential form is:

309446 = 21×1547231

Now multiplying the highest exponent prime factors to calculate the LCM of 309440 and 309446.

LCM(309440,309446) = 26×51×9671×1547231
LCM(309440,309446) = 47877485120

Factors of 309440

List of positive integer factors of 309440 that divides 309440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 30944, 38680, 61888, 77360, 154720, 309440

Factors of 309446

List of positive integer factors of 309446 that divides 309446 without a remainder.

1, 2, 154723, 309446

Least Common Multiple of 309440 and 309446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309440 and 309446, than apply into the LCM equation.

GCF(309440,309446) = 2
LCM(309440,309446) = ( 309440 × 309446) / 2
LCM(309440,309446) = 95754970240 / 2
LCM(309440,309446) = 47877485120

Properties of LCM 309440 and 309446

(i) The LCM of 309446 and 309440 is associative

LCM of 309440 and 309446 = LCM of 309446 and 309440

Related Least Common Multiples of 309440

Related Least Common Multiples of 309446

Frequently Asked Questions on LCM of 309440 and 309446

1. What is the LCM of 309440 and 309446?

Answer: LCM of 309440 and 309446 is 47877485120.

2. What are the Factors of 309440?

Answer: Factors of 309440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 30944, 38680, 61888, 77360, 154720, 309440. There are 28 integers that are factors of 309440. The greatest factor of 309440 is 309440.

3. What are the Factors of 309446?

Answer: Factors of 309446 are 1, 2, 154723, 309446. There are 4 integers that are factors of 309446. The greatest factor of 309446 is 309446.

4. How to Find the LCM of 309440 and 309446?

Answer:

Least Common Multiple of 309440 and 309446 = 47877485120

Step 1: Find the prime factorization of 309440

309440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 967

Step 2: Find the prime factorization of 309446

309446 = 2 x 154723

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

LCM = 47877485120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 967 x 154723

Step 4: Therefore, the least common multiple of 309440 and 309446 is 47877485120.