What is the Least Common Multiple of 57633 and 57637?

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 57633 and 57637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57633 and 57637, than apply into the LCM equation.

GCF(57633,57637) = 1
LCM(57633,57637) = ( 57633 × 57637) / 1
LCM(57633,57637) = 3321793221 / 1
LCM(57633,57637) = 3321793221

Least Common Multiple (LCM) of 57633 and 57637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57633 and 57637. First we will calculate the prime factors of 57633 and 57637.

Prime Factorization of 57633

Prime Factorization of 57637

Now multiplying the highest exponent prime factors to calculate the LCM of 57633 and 57637.

LCM(57633,57637) = 3¹ × 19211¹ × 57637¹
LCM(57633,57637) = 3321793221