What is the Least Common Multiple of 51512 and 51518?

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 51512 and 51518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51512 and 51518, than apply into the LCM equation.

GCF(51512,51518) = 2
LCM(51512,51518) = ( 51512 × 51518) / 2
LCM(51512,51518) = 2653795216 / 2
LCM(51512,51518) = 1326897608

Least Common Multiple (LCM) of 51512 and 51518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51512 and 51518. First we will calculate the prime factors of 51512 and 51518.

Prime Factorization of 51512

Prime Factorization of 51518

Now multiplying the highest exponent prime factors to calculate the LCM of 51512 and 51518.

LCM(51512,51518) = 2³ × 47¹ × 137¹ × 25759¹
LCM(51512,51518) = 1326897608