What is the Least Common Multiple of 51123 and 51136?

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 51123 and 51136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51123 and 51136, than apply into the LCM equation.

GCF(51123,51136) = 1
LCM(51123,51136) = ( 51123 × 51136) / 1
LCM(51123,51136) = 2614225728 / 1
LCM(51123,51136) = 2614225728

Least Common Multiple (LCM) of 51123 and 51136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51123 and 51136. First we will calculate the prime factors of 51123 and 51136.

Prime Factorization of 51123

Prime Factorization of 51136

Now multiplying the highest exponent prime factors to calculate the LCM of 51123 and 51136.

LCM(51123,51136) = 3¹ × 17041¹ × 2⁶ × 17¹ × 47¹
LCM(51123,51136) = 2614225728