What is the Least Common Multiple of 68138 and 68152?

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 68138 and 68152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68138 and 68152, than apply into the LCM equation.

GCF(68138,68152) = 14
LCM(68138,68152) = ( 68138 × 68152) / 14
LCM(68138,68152) = 4643740976 / 14
LCM(68138,68152) = 331695784

Least Common Multiple (LCM) of 68138 and 68152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68138 and 68152. First we will calculate the prime factors of 68138 and 68152.

Prime Factorization of 68138

Prime Factorization of 68152

Now multiplying the highest exponent prime factors to calculate the LCM of 68138 and 68152.

LCM(68138,68152) = 2³ × 7¹ × 31¹ × 157¹ × 1217¹
LCM(68138,68152) = 331695784