What is the Least Common Multiple of 32144 and 32152?

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 32144 and 32152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32144 and 32152, than apply into the LCM equation.

GCF(32144,32152) = 8
LCM(32144,32152) = ( 32144 × 32152) / 8
LCM(32144,32152) = 1033493888 / 8
LCM(32144,32152) = 129186736

Least Common Multiple (LCM) of 32144 and 32152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32144 and 32152. First we will calculate the prime factors of 32144 and 32152.

Prime Factorization of 32144

Prime Factorization of 32152

Now multiplying the highest exponent prime factors to calculate the LCM of 32144 and 32152.

LCM(32144,32152) = 2⁴ × 7² × 41¹ × 4019¹
LCM(32144,32152) = 129186736