What is the Least Common Multiple of 62712 and 62716?

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 62712 and 62716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62712 and 62716, than apply into the LCM equation.

GCF(62712,62716) = 4
LCM(62712,62716) = ( 62712 × 62716) / 4
LCM(62712,62716) = 3933045792 / 4
LCM(62712,62716) = 983261448

Least Common Multiple (LCM) of 62712 and 62716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62712 and 62716. First we will calculate the prime factors of 62712 and 62716.

Prime Factorization of 62712

Prime Factorization of 62716

Now multiplying the highest exponent prime factors to calculate the LCM of 62712 and 62716.

LCM(62712,62716) = 2³ × 3² × 13¹ × 67¹ × 15679¹
LCM(62712,62716) = 983261448