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What is the Least Common Multiple of 15684 and 15701?

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 15684 and 15701 is 246254484.

LCM(15684,15701) = 246254484

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Least Common Multiple of 15684 and 15701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15684 and 15701, than apply into the LCM equation.

GCF(15684,15701) = 1
LCM(15684,15701) = ( 15684 × 15701) / 1
LCM(15684,15701) = 246254484 / 1
LCM(15684,15701) = 246254484

Least Common Multiple (LCM) of 15684 and 15701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15684 and 15701. First we will calculate the prime factors of 15684 and 15701.

Prime Factorization of 15684

Prime factors of 15684 are 2, 3, 1307. Prime factorization of 15684 in exponential form is:

15684 = 22 × 31 × 13071

Prime Factorization of 15701

Prime factors of 15701 are 7, 2243. Prime factorization of 15701 in exponential form is:

15701 = 71 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 15684 and 15701.

LCM(15684,15701) = 22 × 31 × 13071 × 71 × 22431
LCM(15684,15701) = 246254484