What is the Least Common Multiple of 15314 and 15324?

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 of 15314 and 15324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15314 and 15324, than apply into the LCM equation.

GCF(15314,15324) = 2
LCM(15314,15324) = ( 15314 × 15324) / 2
LCM(15314,15324) = 234671736 / 2
LCM(15314,15324) = 117335868

Least Common Multiple (LCM) of 15314 and 15324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15314 and 15324. First we will calculate the prime factors of 15314 and 15324.

Prime Factorization of 15314

Prime Factorization of 15324

Now multiplying the highest exponent prime factors to calculate the LCM of 15314 and 15324.

LCM(15314,15324) = 2² × 13¹ × 19¹ × 31¹ × 3¹ × 1277¹
LCM(15314,15324) = 117335868