What is the Least Common Multiple of 8635 and 8653?

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 8653 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 8653, than apply into the LCM equation.

GCF(8635,8653) = 1
LCM(8635,8653) = ( 8635 × 8653) / 1
LCM(8635,8653) = 74718655 / 1
LCM(8635,8653) = 74718655

Least Common Multiple (LCM) of 8635 and 8653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8653. First we will calculate the prime factors of 8635 and 8653.

Prime Factorization of 8635

Prime Factorization of 8653

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8653.

LCM(8635,8653) = 5¹ × 11¹ × 157¹ × 17¹ × 509¹
LCM(8635,8653) = 74718655