What is the Least Common Multiple of 84977 and 84985?

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 84977 and 84985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84977 and 84985, than apply into the LCM equation.

GCF(84977,84985) = 1
LCM(84977,84985) = ( 84977 × 84985) / 1
LCM(84977,84985) = 7221770345 / 1
LCM(84977,84985) = 7221770345

Least Common Multiple (LCM) of 84977 and 84985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84977 and 84985. First we will calculate the prime factors of 84977 and 84985.

Prime Factorization of 84977

Prime Factorization of 84985

Now multiplying the highest exponent prime factors to calculate the LCM of 84977 and 84985.

LCM(84977,84985) = 84977¹ × 5¹ × 23¹ × 739¹
LCM(84977,84985) = 7221770345