What is the Least Common Multiple of 62436 and 62451?

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 62436 and 62451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62436 and 62451, than apply into the LCM equation.

GCF(62436,62451) = 3
LCM(62436,62451) = ( 62436 × 62451) / 3
LCM(62436,62451) = 3899190636 / 3
LCM(62436,62451) = 1299730212

Least Common Multiple (LCM) of 62436 and 62451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62436 and 62451. First we will calculate the prime factors of 62436 and 62451.

Prime Factorization of 62436

Prime Factorization of 62451

Now multiplying the highest exponent prime factors to calculate the LCM of 62436 and 62451.

LCM(62436,62451) = 2² × 3⁵ × 11² × 43¹ × 257¹
LCM(62436,62451) = 1299730212