What is the Least Common Multiple of 62916 and 62930?

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 62916 and 62930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62916 and 62930, than apply into the LCM equation.

GCF(62916,62930) = 14
LCM(62916,62930) = ( 62916 × 62930) / 14
LCM(62916,62930) = 3959303880 / 14
LCM(62916,62930) = 282807420

Least Common Multiple (LCM) of 62916 and 62930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62916 and 62930. First we will calculate the prime factors of 62916 and 62930.

Prime Factorization of 62916

Prime Factorization of 62930

Now multiplying the highest exponent prime factors to calculate the LCM of 62916 and 62930.

LCM(62916,62930) = 2² × 3¹ × 7² × 107¹ × 5¹ × 29¹ × 31¹
LCM(62916,62930) = 282807420