What is the Least Common Multiple of 48138 and 48152?

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 48138 and 48152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48138 and 48152, than apply into the LCM equation.

GCF(48138,48152) = 2
LCM(48138,48152) = ( 48138 × 48152) / 2
LCM(48138,48152) = 2317940976 / 2
LCM(48138,48152) = 1158970488

Least Common Multiple (LCM) of 48138 and 48152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48138 and 48152. First we will calculate the prime factors of 48138 and 48152.

Prime Factorization of 48138

Prime Factorization of 48152

Now multiplying the highest exponent prime factors to calculate the LCM of 48138 and 48152.

LCM(48138,48152) = 2³ × 3¹ × 71¹ × 113¹ × 13¹ × 463¹
LCM(48138,48152) = 1158970488