What is the Least Common Multiple of 11628 and 11645?

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 11628 and 11645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11628 and 11645, than apply into the LCM equation.

GCF(11628,11645) = 17
LCM(11628,11645) = ( 11628 × 11645) / 17
LCM(11628,11645) = 135408060 / 17
LCM(11628,11645) = 7965180

Least Common Multiple (LCM) of 11628 and 11645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11628 and 11645. First we will calculate the prime factors of 11628 and 11645.

Prime Factorization of 11628

Prime Factorization of 11645

Now multiplying the highest exponent prime factors to calculate the LCM of 11628 and 11645.

LCM(11628,11645) = 2² × 3² × 17¹ × 19¹ × 5¹ × 137¹
LCM(11628,11645) = 7965180