What is the Least Common Multiple of 51619 and 51637?

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 51619 and 51637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51619 and 51637, than apply into the LCM equation.

GCF(51619,51637) = 1
LCM(51619,51637) = ( 51619 × 51637) / 1
LCM(51619,51637) = 2665450303 / 1
LCM(51619,51637) = 2665450303

Least Common Multiple (LCM) of 51619 and 51637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51619 and 51637. First we will calculate the prime factors of 51619 and 51637.

Prime Factorization of 51619

Prime Factorization of 51637

Now multiplying the highest exponent prime factors to calculate the LCM of 51619 and 51637.

LCM(51619,51637) = 41¹ × 1259¹ × 51637¹
LCM(51619,51637) = 2665450303