What is the Least Common Multiple of 62432 and 62446?

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 62432 and 62446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62432 and 62446, than apply into the LCM equation.

GCF(62432,62446) = 2
LCM(62432,62446) = ( 62432 × 62446) / 2
LCM(62432,62446) = 3898628672 / 2
LCM(62432,62446) = 1949314336

Least Common Multiple (LCM) of 62432 and 62446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62432 and 62446. First we will calculate the prime factors of 62432 and 62446.

Prime Factorization of 62432

Prime Factorization of 62446

Now multiplying the highest exponent prime factors to calculate the LCM of 62432 and 62446.

LCM(62432,62446) = 2⁵ × 1951¹ × 31223¹
LCM(62432,62446) = 1949314336