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What is the Least Common Multiple of 15710 and 15715?

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 15710 and 15715 is 49376530.

LCM(15710,15715) = 49376530

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Least Common Multiple of 15710 and 15715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15710 and 15715, than apply into the LCM equation.

GCF(15710,15715) = 5
LCM(15710,15715) = ( 15710 × 15715) / 5
LCM(15710,15715) = 246882650 / 5
LCM(15710,15715) = 49376530

Least Common Multiple (LCM) of 15710 and 15715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15710 and 15715. First we will calculate the prime factors of 15710 and 15715.

Prime Factorization of 15710

Prime factors of 15710 are 2, 5, 1571. Prime factorization of 15710 in exponential form is:

15710 = 21 × 51 × 15711

Prime Factorization of 15715

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

15715 = 51 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 15710 and 15715.

LCM(15710,15715) = 21 × 51 × 15711 × 71 × 4491
LCM(15710,15715) = 49376530