What is the Least Common Multiple of 62468 and 62472?

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 62468 and 62472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62468 and 62472, than apply into the LCM equation.

GCF(62468,62472) = 4
LCM(62468,62472) = ( 62468 × 62472) / 4
LCM(62468,62472) = 3902500896 / 4
LCM(62468,62472) = 975625224

Least Common Multiple (LCM) of 62468 and 62472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62468 and 62472. First we will calculate the prime factors of 62468 and 62472.

Prime Factorization of 62468

Prime Factorization of 62472

Now multiplying the highest exponent prime factors to calculate the LCM of 62468 and 62472.

LCM(62468,62472) = 2³ × 7¹ × 23¹ × 97¹ × 3¹ × 19¹ × 137¹
LCM(62468,62472) = 975625224