What is the Least Common Multiple of 79776 and 79792?

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 79776 and 79792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79776 and 79792, than apply into the LCM equation.

GCF(79776,79792) = 16
LCM(79776,79792) = ( 79776 × 79792) / 16
LCM(79776,79792) = 6365486592 / 16
LCM(79776,79792) = 397842912

Least Common Multiple (LCM) of 79776 and 79792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79776 and 79792. First we will calculate the prime factors of 79776 and 79792.

Prime Factorization of 79776

Prime Factorization of 79792

Now multiplying the highest exponent prime factors to calculate the LCM of 79776 and 79792.

LCM(79776,79792) = 2⁵ × 3² × 277¹ × 4987¹
LCM(79776,79792) = 397842912