What is the Least Common Multiple of 82776 and 82792?

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 82776 and 82792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82776 and 82792, than apply into the LCM equation.

GCF(82776,82792) = 8
LCM(82776,82792) = ( 82776 × 82792) / 8
LCM(82776,82792) = 6853190592 / 8
LCM(82776,82792) = 856648824

Least Common Multiple (LCM) of 82776 and 82792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82776 and 82792. First we will calculate the prime factors of 82776 and 82792.

Prime Factorization of 82776

Prime Factorization of 82792

Now multiplying the highest exponent prime factors to calculate the LCM of 82776 and 82792.

LCM(82776,82792) = 2³ × 3¹ × 3449¹ × 79¹ × 131¹
LCM(82776,82792) = 856648824