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What is the Least Common Multiple of 30716 and 30735?

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 30716 and 30735 is 944056260.

LCM(30716,30735) = 944056260

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Least Common Multiple of 30716 and 30735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30716 and 30735, than apply into the LCM equation.

GCF(30716,30735) = 1
LCM(30716,30735) = ( 30716 × 30735) / 1
LCM(30716,30735) = 944056260 / 1
LCM(30716,30735) = 944056260

Least Common Multiple (LCM) of 30716 and 30735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30716 and 30735. First we will calculate the prime factors of 30716 and 30735.

Prime Factorization of 30716

Prime factors of 30716 are 2, 7, 1097. Prime factorization of 30716 in exponential form is:

30716 = 22 × 71 × 10971

Prime Factorization of 30735

Prime factors of 30735 are 3, 5, 683. Prime factorization of 30735 in exponential form is:

30735 = 32 × 51 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 30716 and 30735.

LCM(30716,30735) = 22 × 71 × 10971 × 32 × 51 × 6831
LCM(30716,30735) = 944056260