What is the Least Common Multiple of 51138 and 51156?

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 51156 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 51156, than apply into the LCM equation.

GCF(51138,51156) = 18
LCM(51138,51156) = ( 51138 × 51156) / 18
LCM(51138,51156) = 2616015528 / 18
LCM(51138,51156) = 145334196

Least Common Multiple (LCM) of 51138 and 51156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51138 and 51156. First we will calculate the prime factors of 51138 and 51156.

Prime Factorization of 51138

Prime Factorization of 51156

Now multiplying the highest exponent prime factors to calculate the LCM of 51138 and 51156.

LCM(51138,51156) = 2² × 3³ × 947¹ × 7² × 29¹
LCM(51138,51156) = 145334196