What is the Least Common Multiple of 84779 and 84796?

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 84779 and 84796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84779 and 84796, than apply into the LCM equation.

GCF(84779,84796) = 17
LCM(84779,84796) = ( 84779 × 84796) / 17
LCM(84779,84796) = 7188920084 / 17
LCM(84779,84796) = 422877652

Least Common Multiple (LCM) of 84779 and 84796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84779 and 84796. First we will calculate the prime factors of 84779 and 84796.

Prime Factorization of 84779

Prime Factorization of 84796

Now multiplying the highest exponent prime factors to calculate the LCM of 84779 and 84796.

LCM(84779,84796) = 17¹ × 4987¹ × 2² × 29¹ × 43¹
LCM(84779,84796) = 422877652