What is the Least Common Multiple of 62894 and 62908?

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 62894 and 62908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62894 and 62908, than apply into the LCM equation.

GCF(62894,62908) = 2
LCM(62894,62908) = ( 62894 × 62908) / 2
LCM(62894,62908) = 3956535752 / 2
LCM(62894,62908) = 1978267876

Least Common Multiple (LCM) of 62894 and 62908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62894 and 62908. First we will calculate the prime factors of 62894 and 62908.

Prime Factorization of 62894

Prime Factorization of 62908

Now multiplying the highest exponent prime factors to calculate the LCM of 62894 and 62908.

LCM(62894,62908) = 2² × 13¹ × 41¹ × 59¹ × 15727¹
LCM(62894,62908) = 1978267876