What is the Least Common Multiple of 84959 and 84977?

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 84959 and 84977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84959 and 84977, than apply into the LCM equation.

GCF(84959,84977) = 1
LCM(84959,84977) = ( 84959 × 84977) / 1
LCM(84959,84977) = 7219560943 / 1
LCM(84959,84977) = 7219560943

Least Common Multiple (LCM) of 84959 and 84977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84959 and 84977. First we will calculate the prime factors of 84959 and 84977.

Prime Factorization of 84959

Prime Factorization of 84977

Now multiplying the highest exponent prime factors to calculate the LCM of 84959 and 84977.

LCM(84959,84977) = 7¹ × 53¹ × 229¹ × 84977¹
LCM(84959,84977) = 7219560943