What is the Least Common Multiple of 11628 and 11647?

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 11647 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 11647, than apply into the LCM equation.

GCF(11628,11647) = 19
LCM(11628,11647) = ( 11628 × 11647) / 19
LCM(11628,11647) = 135431316 / 19
LCM(11628,11647) = 7127964

Least Common Multiple (LCM) of 11628 and 11647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11628 and 11647. First we will calculate the prime factors of 11628 and 11647.

Prime Factorization of 11628

Prime Factorization of 11647

Now multiplying the highest exponent prime factors to calculate the LCM of 11628 and 11647.

LCM(11628,11647) = 2² × 3² × 17¹ × 19¹ × 613¹
LCM(11628,11647) = 7127964