What is the Least Common Multiple of 85002 and 85007?

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 85002 and 85007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85002 and 85007, than apply into the LCM equation.

GCF(85002,85007) = 1
LCM(85002,85007) = ( 85002 × 85007) / 1
LCM(85002,85007) = 7225765014 / 1
LCM(85002,85007) = 7225765014

Least Common Multiple (LCM) of 85002 and 85007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85002 and 85007. First we will calculate the prime factors of 85002 and 85007.

Prime Factorization of 85002

Prime Factorization of 85007

Now multiplying the highest exponent prime factors to calculate the LCM of 85002 and 85007.

LCM(85002,85007) = 2¹ × 3¹ × 31¹ × 457¹ × 13² × 503¹
LCM(85002,85007) = 7225765014