What is the Least Common Multiple of 15144 and 15159?

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 15144 and 15159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15144 and 15159, than apply into the LCM equation.

GCF(15144,15159) = 3
LCM(15144,15159) = ( 15144 × 15159) / 3
LCM(15144,15159) = 229567896 / 3
LCM(15144,15159) = 76522632

Least Common Multiple (LCM) of 15144 and 15159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15144 and 15159. First we will calculate the prime factors of 15144 and 15159.

Prime Factorization of 15144

Prime Factorization of 15159

Now multiplying the highest exponent prime factors to calculate the LCM of 15144 and 15159.

LCM(15144,15159) = 2³ × 3¹ × 631¹ × 31¹ × 163¹
LCM(15144,15159) = 76522632