What is the Least Common Multiple of 15144 and 15152?

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 15152 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 15152, than apply into the LCM equation.

GCF(15144,15152) = 8
LCM(15144,15152) = ( 15144 × 15152) / 8
LCM(15144,15152) = 229461888 / 8
LCM(15144,15152) = 28682736

Least Common Multiple (LCM) of 15144 and 15152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15144 and 15152. First we will calculate the prime factors of 15144 and 15152.

Prime Factorization of 15144

Prime Factorization of 15152

Now multiplying the highest exponent prime factors to calculate the LCM of 15144 and 15152.

LCM(15144,15152) = 2⁴ × 3¹ × 631¹ × 947¹
LCM(15144,15152) = 28682736