What is the Least Common Multiple of 62596 and 62600?

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 62596 and 62600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62596 and 62600, than apply into the LCM equation.

GCF(62596,62600) = 4
LCM(62596,62600) = ( 62596 × 62600) / 4
LCM(62596,62600) = 3918509600 / 4
LCM(62596,62600) = 979627400

Least Common Multiple (LCM) of 62596 and 62600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62596 and 62600. First we will calculate the prime factors of 62596 and 62600.

Prime Factorization of 62596

Prime Factorization of 62600

Now multiplying the highest exponent prime factors to calculate the LCM of 62596 and 62600.

LCM(62596,62600) = 2³ × 15649¹ × 5² × 313¹
LCM(62596,62600) = 979627400