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What is the Least Common Multiple of 15715 and 15735?

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 15715 and 15735 is 49455105.

LCM(15715,15735) = 49455105

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Least Common Multiple of 15715 and 15735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15715 and 15735, than apply into the LCM equation.

GCF(15715,15735) = 5
LCM(15715,15735) = ( 15715 × 15735) / 5
LCM(15715,15735) = 247275525 / 5
LCM(15715,15735) = 49455105

Least Common Multiple (LCM) of 15715 and 15735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15715 and 15735. First we will calculate the prime factors of 15715 and 15735.

Prime Factorization of 15715

Prime factors of 15715 are 5, 7, 449. Prime factorization of 15715 in exponential form is:

15715 = 51 × 71 × 4491

Prime Factorization of 15735

Prime factors of 15735 are 3, 5, 1049. Prime factorization of 15735 in exponential form is:

15735 = 31 × 51 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 15715 and 15735.

LCM(15715,15735) = 51 × 71 × 4491 × 31 × 10491
LCM(15715,15735) = 49455105