What is the Least Common Multiple of 84512 and 84524?

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 84512 and 84524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84512 and 84524, than apply into the LCM equation.

GCF(84512,84524) = 4
LCM(84512,84524) = ( 84512 × 84524) / 4
LCM(84512,84524) = 7143292288 / 4
LCM(84512,84524) = 1785823072

Least Common Multiple (LCM) of 84512 and 84524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84512 and 84524. First we will calculate the prime factors of 84512 and 84524.

Prime Factorization of 84512

Prime Factorization of 84524

Now multiplying the highest exponent prime factors to calculate the LCM of 84512 and 84524.

LCM(84512,84524) = 2⁵ × 19¹ × 139¹ × 11¹ × 17¹ × 113¹
LCM(84512,84524) = 1785823072