What is the Least Common Multiple of 51138 and 51152?

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 51138 and 51152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51138 and 51152, than apply into the LCM equation.

GCF(51138,51152) = 2
LCM(51138,51152) = ( 51138 × 51152) / 2
LCM(51138,51152) = 2615810976 / 2
LCM(51138,51152) = 1307905488

Least Common Multiple (LCM) of 51138 and 51152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51138 and 51152. First we will calculate the prime factors of 51138 and 51152.

Prime Factorization of 51138

Prime Factorization of 51152

Now multiplying the highest exponent prime factors to calculate the LCM of 51138 and 51152.

LCM(51138,51152) = 2⁴ × 3³ × 947¹ × 23¹ × 139¹
LCM(51138,51152) = 1307905488