What is the Least Common Multiple of 78612 and 78620?

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 78612 and 78620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78612 and 78620, than apply into the LCM equation.

GCF(78612,78620) = 4
LCM(78612,78620) = ( 78612 × 78620) / 4
LCM(78612,78620) = 6180475440 / 4
LCM(78612,78620) = 1545118860

Least Common Multiple (LCM) of 78612 and 78620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78612 and 78620. First we will calculate the prime factors of 78612 and 78620.

Prime Factorization of 78612

Prime Factorization of 78620

Now multiplying the highest exponent prime factors to calculate the LCM of 78612 and 78620.

LCM(78612,78620) = 2² × 3¹ × 6551¹ × 5¹ × 3931¹
LCM(78612,78620) = 1545118860