What is the Least Common Multiple of 78672 and 78688?

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 78688 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 78688, than apply into the LCM equation.

GCF(78672,78688) = 16
LCM(78672,78688) = ( 78672 × 78688) / 16
LCM(78672,78688) = 6190542336 / 16
LCM(78672,78688) = 386908896

Least Common Multiple (LCM) of 78672 and 78688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78672 and 78688. First we will calculate the prime factors of 78672 and 78688.

Prime Factorization of 78672

Prime Factorization of 78688

Now multiplying the highest exponent prime factors to calculate the LCM of 78672 and 78688.

LCM(78672,78688) = 2⁵ × 3¹ × 11¹ × 149¹ × 2459¹
LCM(78672,78688) = 386908896