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What is the Least Common Multiple of 40718 and 40728?

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 40718 and 40728 is 829181352.

LCM(40718,40728) = 829181352

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Least Common Multiple of 40718 and 40728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40718 and 40728, than apply into the LCM equation.

GCF(40718,40728) = 2
LCM(40718,40728) = ( 40718 × 40728) / 2
LCM(40718,40728) = 1658362704 / 2
LCM(40718,40728) = 829181352

Least Common Multiple (LCM) of 40718 and 40728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40718 and 40728. First we will calculate the prime factors of 40718 and 40728.

Prime Factorization of 40718

Prime factors of 40718 are 2, 20359. Prime factorization of 40718 in exponential form is:

40718 = 21 × 203591

Prime Factorization of 40728

Prime factors of 40728 are 2, 3, 1697. Prime factorization of 40728 in exponential form is:

40728 = 23 × 31 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 40718 and 40728.

LCM(40718,40728) = 23 × 203591 × 31 × 16971
LCM(40718,40728) = 829181352