What is the Least Common Multiple of 51076 and 51089?

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 51076 and 51089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51076 and 51089, than apply into the LCM equation.

GCF(51076,51089) = 1
LCM(51076,51089) = ( 51076 × 51089) / 1
LCM(51076,51089) = 2609421764 / 1
LCM(51076,51089) = 2609421764

Least Common Multiple (LCM) of 51076 and 51089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51076 and 51089. First we will calculate the prime factors of 51076 and 51089.

Prime Factorization of 51076

Prime Factorization of 51089

Now multiplying the highest exponent prime factors to calculate the LCM of 51076 and 51089.

LCM(51076,51089) = 2² × 113² × 47¹ × 1087¹
LCM(51076,51089) = 2609421764