What is the Least Common Multiple of 8675 and 8690?

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 8675 and 8690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8675 and 8690, than apply into the LCM equation.

GCF(8675,8690) = 5
LCM(8675,8690) = ( 8675 × 8690) / 5
LCM(8675,8690) = 75385750 / 5
LCM(8675,8690) = 15077150

Least Common Multiple (LCM) of 8675 and 8690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8675 and 8690. First we will calculate the prime factors of 8675 and 8690.

Prime Factorization of 8675

Prime Factorization of 8690

Now multiplying the highest exponent prime factors to calculate the LCM of 8675 and 8690.

LCM(8675,8690) = 5² × 347¹ × 2¹ × 11¹ × 79¹
LCM(8675,8690) = 15077150