What is the Least Common Multiple of 84912 and 84919?

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 84912 and 84919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84912 and 84919, than apply into the LCM equation.

GCF(84912,84919) = 1
LCM(84912,84919) = ( 84912 × 84919) / 1
LCM(84912,84919) = 7210642128 / 1
LCM(84912,84919) = 7210642128

Least Common Multiple (LCM) of 84912 and 84919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84912 and 84919. First we will calculate the prime factors of 84912 and 84919.

Prime Factorization of 84912

Prime Factorization of 84919

Now multiplying the highest exponent prime factors to calculate the LCM of 84912 and 84919.

LCM(84912,84919) = 2⁴ × 3¹ × 29¹ × 61¹ × 84919¹
LCM(84912,84919) = 7210642128