What is the Least Common Multiple of 78672 and 78684?

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 78672 and 78684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78672 and 78684, than apply into the LCM equation.

GCF(78672,78684) = 12
LCM(78672,78684) = ( 78672 × 78684) / 12
LCM(78672,78684) = 6190227648 / 12
LCM(78672,78684) = 515852304

Least Common Multiple (LCM) of 78672 and 78684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78672 and 78684. First we will calculate the prime factors of 78672 and 78684.

Prime Factorization of 78672

Prime Factorization of 78684

Now multiplying the highest exponent prime factors to calculate the LCM of 78672 and 78684.

LCM(78672,78684) = 2⁴ × 3¹ × 11¹ × 149¹ × 79¹ × 83¹
LCM(78672,78684) = 515852304