What is the Least Common Multiple of 51105 and 51124?

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 51105 and 51124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51105 and 51124, than apply into the LCM equation.

GCF(51105,51124) = 1
LCM(51105,51124) = ( 51105 × 51124) / 1
LCM(51105,51124) = 2612692020 / 1
LCM(51105,51124) = 2612692020

Least Common Multiple (LCM) of 51105 and 51124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51105 and 51124. First we will calculate the prime factors of 51105 and 51124.

Prime Factorization of 51105

Prime Factorization of 51124

Now multiplying the highest exponent prime factors to calculate the LCM of 51105 and 51124.

LCM(51105,51124) = 3¹ × 5¹ × 3407¹ × 2² × 12781¹
LCM(51105,51124) = 2612692020