What is the Least Common Multiple of 8652 and 8670?

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 8652 and 8670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8652 and 8670, than apply into the LCM equation.

GCF(8652,8670) = 6
LCM(8652,8670) = ( 8652 × 8670) / 6
LCM(8652,8670) = 75012840 / 6
LCM(8652,8670) = 12502140

Least Common Multiple (LCM) of 8652 and 8670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8670. First we will calculate the prime factors of 8652 and 8670.

Prime Factorization of 8652

Prime Factorization of 8670

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8670.

LCM(8652,8670) = 2² × 3¹ × 7¹ × 103¹ × 5¹ × 17²
LCM(8652,8670) = 12502140