What is the Least Common Multiple of 15105 and 15124?

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 15105 and 15124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15105 and 15124, than apply into the LCM equation.

GCF(15105,15124) = 19
LCM(15105,15124) = ( 15105 × 15124) / 19
LCM(15105,15124) = 228448020 / 19
LCM(15105,15124) = 12023580

Least Common Multiple (LCM) of 15105 and 15124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15105 and 15124. First we will calculate the prime factors of 15105 and 15124.

Prime Factorization of 15105

Prime Factorization of 15124

Now multiplying the highest exponent prime factors to calculate the LCM of 15105 and 15124.

LCM(15105,15124) = 3¹ × 5¹ × 19¹ × 53¹ × 2² × 199¹
LCM(15105,15124) = 12023580