What is the Least Common Multiple of 79856 and 79872?

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 79856 and 79872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79856 and 79872, than apply into the LCM equation.

GCF(79856,79872) = 16
LCM(79856,79872) = ( 79856 × 79872) / 16
LCM(79856,79872) = 6378258432 / 16
LCM(79856,79872) = 398641152

Least Common Multiple (LCM) of 79856 and 79872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79856 and 79872. First we will calculate the prime factors of 79856 and 79872.

Prime Factorization of 79856

Prime Factorization of 79872

Now multiplying the highest exponent prime factors to calculate the LCM of 79856 and 79872.

LCM(79856,79872) = 2¹¹ × 7¹ × 23¹ × 31¹ × 3¹ × 13¹
LCM(79856,79872) = 398641152