What is the Least Common Multiple of 85653 and 85660?

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 85653 and 85660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85653 and 85660, than apply into the LCM equation.

GCF(85653,85660) = 1
LCM(85653,85660) = ( 85653 × 85660) / 1
LCM(85653,85660) = 7337035980 / 1
LCM(85653,85660) = 7337035980

Least Common Multiple (LCM) of 85653 and 85660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85653 and 85660. First we will calculate the prime factors of 85653 and 85660.

Prime Factorization of 85653

Prime Factorization of 85660

Now multiplying the highest exponent prime factors to calculate the LCM of 85653 and 85660.

LCM(85653,85660) = 3² × 31¹ × 307¹ × 2² × 5¹ × 4283¹
LCM(85653,85660) = 7337035980