What is the Least Common Multiple of 8626 and 8645?

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 8626 and 8645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8626 and 8645, than apply into the LCM equation.

GCF(8626,8645) = 19
LCM(8626,8645) = ( 8626 × 8645) / 19
LCM(8626,8645) = 74571770 / 19
LCM(8626,8645) = 3924830

Least Common Multiple (LCM) of 8626 and 8645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8626 and 8645. First we will calculate the prime factors of 8626 and 8645.

Prime Factorization of 8626

Prime Factorization of 8645

Now multiplying the highest exponent prime factors to calculate the LCM of 8626 and 8645.

LCM(8626,8645) = 2¹ × 19¹ × 227¹ × 5¹ × 7¹ × 13¹
LCM(8626,8645) = 3924830