What is the Least Common Multiple of 11646 and 11657?

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 11646 and 11657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11646 and 11657, than apply into the LCM equation.

GCF(11646,11657) = 1
LCM(11646,11657) = ( 11646 × 11657) / 1
LCM(11646,11657) = 135757422 / 1
LCM(11646,11657) = 135757422

Least Common Multiple (LCM) of 11646 and 11657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11646 and 11657. First we will calculate the prime factors of 11646 and 11657.

Prime Factorization of 11646

Prime Factorization of 11657

Now multiplying the highest exponent prime factors to calculate the LCM of 11646 and 11657.

LCM(11646,11657) = 2¹ × 3² × 647¹ × 11657¹
LCM(11646,11657) = 135757422