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What is the Least Common Multiple of 56730 and 56740?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56730 and 56740 is 321886020.

LCM(56730,56740) = 321886020

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Least Common Multiple of 56730 and 56740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56730 and 56740, than apply into the LCM equation.

GCF(56730,56740) = 10
LCM(56730,56740) = ( 56730 × 56740) / 10
LCM(56730,56740) = 3218860200 / 10
LCM(56730,56740) = 321886020

Least Common Multiple (LCM) of 56730 and 56740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56730 and 56740. First we will calculate the prime factors of 56730 and 56740.

Prime Factorization of 56730

Prime factors of 56730 are 2, 3, 5, 31, 61. Prime factorization of 56730 in exponential form is:

56730 = 21 × 31 × 51 × 311 × 611

Prime Factorization of 56740

Prime factors of 56740 are 2, 5, 2837. Prime factorization of 56740 in exponential form is:

56740 = 22 × 51 × 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 56730 and 56740.

LCM(56730,56740) = 22 × 31 × 51 × 311 × 611 × 28371
LCM(56730,56740) = 321886020