What is the Least Common Multiple of 85650 and 85659?

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 85650 and 85659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85650 and 85659, than apply into the LCM equation.

GCF(85650,85659) = 3
LCM(85650,85659) = ( 85650 × 85659) / 3
LCM(85650,85659) = 7336693350 / 3
LCM(85650,85659) = 2445564450

Least Common Multiple (LCM) of 85650 and 85659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85650 and 85659. First we will calculate the prime factors of 85650 and 85659.

Prime Factorization of 85650

Prime Factorization of 85659

Now multiplying the highest exponent prime factors to calculate the LCM of 85650 and 85659.

LCM(85650,85659) = 2¹ × 3¹ × 5² × 571¹ × 7¹ × 4079¹
LCM(85650,85659) = 2445564450