What is the Least Common Multiple of 84984 and 85000?

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 84984 and 85000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84984 and 85000, than apply into the LCM equation.

GCF(84984,85000) = 8
LCM(84984,85000) = ( 84984 × 85000) / 8
LCM(84984,85000) = 7223640000 / 8
LCM(84984,85000) = 902955000

Least Common Multiple (LCM) of 84984 and 85000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84984 and 85000. First we will calculate the prime factors of 84984 and 85000.

Prime Factorization of 84984

Prime Factorization of 85000

Now multiplying the highest exponent prime factors to calculate the LCM of 84984 and 85000.

LCM(84984,85000) = 2³ × 3¹ × 3541¹ × 5⁴ × 17¹
LCM(84984,85000) = 902955000