What is the Least Common Multiple of 84512 and 84518?

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 84518 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 84518, than apply into the LCM equation.

GCF(84512,84518) = 2
LCM(84512,84518) = ( 84512 × 84518) / 2
LCM(84512,84518) = 7142785216 / 2
LCM(84512,84518) = 3571392608

Least Common Multiple (LCM) of 84512 and 84518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84512 and 84518. First we will calculate the prime factors of 84512 and 84518.

Prime Factorization of 84512

Prime Factorization of 84518

Now multiplying the highest exponent prime factors to calculate the LCM of 84512 and 84518.

LCM(84512,84518) = 2⁵ × 19¹ × 139¹ × 7¹ × 6037¹
LCM(84512,84518) = 3571392608