What is the Least Common Multiple of 51084 and 51096?

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 51084 and 51096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51084 and 51096, than apply into the LCM equation.

GCF(51084,51096) = 12
LCM(51084,51096) = ( 51084 × 51096) / 12
LCM(51084,51096) = 2610188064 / 12
LCM(51084,51096) = 217515672

Least Common Multiple (LCM) of 51084 and 51096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51084 and 51096. First we will calculate the prime factors of 51084 and 51096.

Prime Factorization of 51084

Prime Factorization of 51096

Now multiplying the highest exponent prime factors to calculate the LCM of 51084 and 51096.

LCM(51084,51096) = 2³ × 3³ × 11¹ × 43¹ × 2129¹
LCM(51084,51096) = 217515672