What is the Least Common Multiple of 51105 and 51123?

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 51123 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 51123, than apply into the LCM equation.

GCF(51105,51123) = 3
LCM(51105,51123) = ( 51105 × 51123) / 3
LCM(51105,51123) = 2612640915 / 3
LCM(51105,51123) = 870880305

Least Common Multiple (LCM) of 51105 and 51123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51105 and 51123. First we will calculate the prime factors of 51105 and 51123.

Prime Factorization of 51105

Prime Factorization of 51123

Now multiplying the highest exponent prime factors to calculate the LCM of 51105 and 51123.

LCM(51105,51123) = 3¹ × 5¹ × 3407¹ × 17041¹
LCM(51105,51123) = 870880305