What is the Least Common Multiple of 51090 and 51108?

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 51090 and 51108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51090 and 51108, than apply into the LCM equation.

GCF(51090,51108) = 6
LCM(51090,51108) = ( 51090 × 51108) / 6
LCM(51090,51108) = 2611107720 / 6
LCM(51090,51108) = 435184620

Least Common Multiple (LCM) of 51090 and 51108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51090 and 51108. First we will calculate the prime factors of 51090 and 51108.

Prime Factorization of 51090

Prime Factorization of 51108

Now multiplying the highest exponent prime factors to calculate the LCM of 51090 and 51108.

LCM(51090,51108) = 2² × 3¹ × 5¹ × 13¹ × 131¹ × 4259¹
LCM(51090,51108) = 435184620