What is the Least Common Multiple of 79776 and 79782?

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 79782 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 79782, than apply into the LCM equation.

GCF(79776,79782) = 6
LCM(79776,79782) = ( 79776 × 79782) / 6
LCM(79776,79782) = 6364688832 / 6
LCM(79776,79782) = 1060781472

Least Common Multiple (LCM) of 79776 and 79782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79776 and 79782. First we will calculate the prime factors of 79776 and 79782.

Prime Factorization of 79776

Prime Factorization of 79782

Now multiplying the highest exponent prime factors to calculate the LCM of 79776 and 79782.

LCM(79776,79782) = 2⁵ × 3² × 277¹ × 13297¹
LCM(79776,79782) = 1060781472