What is the Least Common Multiple of 4138 and 4152?

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 4138 and 4152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4138 and 4152, than apply into the LCM equation.

GCF(4138,4152) = 2
LCM(4138,4152) = ( 4138 × 4152) / 2
LCM(4138,4152) = 17180976 / 2
LCM(4138,4152) = 8590488

Least Common Multiple (LCM) of 4138 and 4152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4138 and 4152. First we will calculate the prime factors of 4138 and 4152.

Prime Factorization of 4138

Prime Factorization of 4152

Now multiplying the highest exponent prime factors to calculate the LCM of 4138 and 4152.

LCM(4138,4152) = 2³ × 2069¹ × 3¹ × 173¹
LCM(4138,4152) = 8590488