What is the Least Common Multiple of 8635 and 8647?

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 8635 and 8647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8647, than apply into the LCM equation.

GCF(8635,8647) = 1
LCM(8635,8647) = ( 8635 × 8647) / 1
LCM(8635,8647) = 74666845 / 1
LCM(8635,8647) = 74666845

Least Common Multiple (LCM) of 8635 and 8647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8647. First we will calculate the prime factors of 8635 and 8647.

Prime Factorization of 8635

Prime Factorization of 8647

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8647.

LCM(8635,8647) = 5¹ × 11¹ × 157¹ × 8647¹
LCM(8635,8647) = 74666845