What is the Least Common Multiple of 62946 and 62959?

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 62946 and 62959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62946 and 62959, than apply into the LCM equation.

GCF(62946,62959) = 13
LCM(62946,62959) = ( 62946 × 62959) / 13
LCM(62946,62959) = 3963017214 / 13
LCM(62946,62959) = 304847478

Least Common Multiple (LCM) of 62946 and 62959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62946 and 62959. First we will calculate the prime factors of 62946 and 62959.

Prime Factorization of 62946

Prime Factorization of 62959

Now multiplying the highest exponent prime factors to calculate the LCM of 62946 and 62959.

LCM(62946,62959) = 2¹ × 3² × 13¹ × 269¹ × 29¹ × 167¹
LCM(62946,62959) = 304847478