What is the Least Common Multiple of 85659 and 85665?

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 85659 and 85665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85659 and 85665, than apply into the LCM equation.

GCF(85659,85665) = 3
LCM(85659,85665) = ( 85659 × 85665) / 3
LCM(85659,85665) = 7337978235 / 3
LCM(85659,85665) = 2445992745

Least Common Multiple (LCM) of 85659 and 85665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85659 and 85665. First we will calculate the prime factors of 85659 and 85665.

Prime Factorization of 85659

Prime Factorization of 85665

Now multiplying the highest exponent prime factors to calculate the LCM of 85659 and 85665.

LCM(85659,85665) = 3¹ × 7¹ × 4079¹ × 5¹ × 5711¹
LCM(85659,85665) = 2445992745