What is the Least Common Multiple of 84508 and 84512?

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 84508 and 84512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84508 and 84512, than apply into the LCM equation.

GCF(84508,84512) = 4
LCM(84508,84512) = ( 84508 × 84512) / 4
LCM(84508,84512) = 7141940096 / 4
LCM(84508,84512) = 1785485024

Least Common Multiple (LCM) of 84508 and 84512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84508 and 84512. First we will calculate the prime factors of 84508 and 84512.

Prime Factorization of 84508

Prime Factorization of 84512

Now multiplying the highest exponent prime factors to calculate the LCM of 84508 and 84512.

LCM(84508,84512) = 2⁵ × 37¹ × 571¹ × 19¹ × 139¹
LCM(84508,84512) = 1785485024