What is the Least Common Multiple of 67137 and 67152?

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 67137 and 67152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67137 and 67152, than apply into the LCM equation.

GCF(67137,67152) = 3
LCM(67137,67152) = ( 67137 × 67152) / 3
LCM(67137,67152) = 4508383824 / 3
LCM(67137,67152) = 1502794608

Least Common Multiple (LCM) of 67137 and 67152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67137 and 67152. First we will calculate the prime factors of 67137 and 67152.

Prime Factorization of 67137

Prime Factorization of 67152

Now multiplying the highest exponent prime factors to calculate the LCM of 67137 and 67152.

LCM(67137,67152) = 3¹ × 7¹ × 23¹ × 139¹ × 2⁴ × 1399¹
LCM(67137,67152) = 1502794608