What is the Least Common Multiple of 11657 and 11673?

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 11657 and 11673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11657 and 11673, than apply into the LCM equation.

GCF(11657,11673) = 1
LCM(11657,11673) = ( 11657 × 11673) / 1
LCM(11657,11673) = 136072161 / 1
LCM(11657,11673) = 136072161

Least Common Multiple (LCM) of 11657 and 11673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11657 and 11673. First we will calculate the prime factors of 11657 and 11673.

Prime Factorization of 11657

Prime Factorization of 11673

Now multiplying the highest exponent prime factors to calculate the LCM of 11657 and 11673.

LCM(11657,11673) = 11657¹ × 3² × 1297¹
LCM(11657,11673) = 136072161