What is the Least Common Multiple of 62614 and 62622?

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 62614 and 62622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62614 and 62622, than apply into the LCM equation.

GCF(62614,62622) = 2
LCM(62614,62622) = ( 62614 × 62622) / 2
LCM(62614,62622) = 3921013908 / 2
LCM(62614,62622) = 1960506954

Least Common Multiple (LCM) of 62614 and 62622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62614 and 62622. First we will calculate the prime factors of 62614 and 62622.

Prime Factorization of 62614

Prime Factorization of 62622

Now multiplying the highest exponent prime factors to calculate the LCM of 62614 and 62622.

LCM(62614,62622) = 2¹ × 31307¹ × 3² × 7² × 71¹
LCM(62614,62622) = 1960506954