What is the Least Common Multiple of 84919 and 84936?

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 84919 and 84936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84919 and 84936, than apply into the LCM equation.

GCF(84919,84936) = 1
LCM(84919,84936) = ( 84919 × 84936) / 1
LCM(84919,84936) = 7212680184 / 1
LCM(84919,84936) = 7212680184

Least Common Multiple (LCM) of 84919 and 84936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84919 and 84936. First we will calculate the prime factors of 84919 and 84936.

Prime Factorization of 84919

Prime Factorization of 84936

Now multiplying the highest exponent prime factors to calculate the LCM of 84919 and 84936.

LCM(84919,84936) = 84919¹ × 2³ × 3¹ × 3539¹
LCM(84919,84936) = 7212680184