What is the Least Common Multiple of 11661 and 11679?

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 11661 and 11679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11661 and 11679, than apply into the LCM equation.

GCF(11661,11679) = 3
LCM(11661,11679) = ( 11661 × 11679) / 3
LCM(11661,11679) = 136188819 / 3
LCM(11661,11679) = 45396273

Least Common Multiple (LCM) of 11661 and 11679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11661 and 11679. First we will calculate the prime factors of 11661 and 11679.

Prime Factorization of 11661

Prime Factorization of 11679

Now multiplying the highest exponent prime factors to calculate the LCM of 11661 and 11679.

LCM(11661,11679) = 3¹ × 13² × 23¹ × 17¹ × 229¹
LCM(11661,11679) = 45396273