What is the Least Common Multiple of 84992 and 85002?

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 84992 and 85002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84992 and 85002, than apply into the LCM equation.

GCF(84992,85002) = 2
LCM(84992,85002) = ( 84992 × 85002) / 2
LCM(84992,85002) = 7224489984 / 2
LCM(84992,85002) = 3612244992

Least Common Multiple (LCM) of 84992 and 85002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84992 and 85002. First we will calculate the prime factors of 84992 and 85002.

Prime Factorization of 84992

Prime Factorization of 85002

Now multiplying the highest exponent prime factors to calculate the LCM of 84992 and 85002.

LCM(84992,85002) = 2¹⁰ × 83¹ × 3¹ × 31¹ × 457¹
LCM(84992,85002) = 3612244992