What is the Least Common Multiple of 76138 and 76152?

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 76138 and 76152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76138 and 76152, than apply into the LCM equation.

GCF(76138,76152) = 2
LCM(76138,76152) = ( 76138 × 76152) / 2
LCM(76138,76152) = 5798060976 / 2
LCM(76138,76152) = 2899030488

Least Common Multiple (LCM) of 76138 and 76152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76138 and 76152. First we will calculate the prime factors of 76138 and 76152.

Prime Factorization of 76138

Prime Factorization of 76152

Now multiplying the highest exponent prime factors to calculate the LCM of 76138 and 76152.

LCM(76138,76152) = 2³ × 38069¹ × 3¹ × 19¹ × 167¹
LCM(76138,76152) = 2899030488