GCF and LCM Calculator Logo

What is the Least Common Multiple of 11658 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 (LCM) of 11658 and 11673 is 45361278.

LCM(11658,11673) = 45361278

LCM Calculator and
and

Least Common Multiple of 11658 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 11658 and 11673, than apply into the LCM equation.

GCF(11658,11673) = 3
LCM(11658,11673) = ( 11658 × 11673) / 3
LCM(11658,11673) = 136083834 / 3
LCM(11658,11673) = 45361278

Least Common Multiple (LCM) of 11658 and 11673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11658 and 11673. First we will calculate the prime factors of 11658 and 11673.

Prime Factorization of 11658

Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:

11658 = 21 × 31 × 291 × 671

Prime Factorization of 11673

Prime factors of 11673 are 3, 1297. Prime factorization of 11673 in exponential form is:

11673 = 32 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 11658 and 11673.

LCM(11658,11673) = 21 × 32 × 291 × 671 × 12971
LCM(11658,11673) = 45361278