What is the Least Common Multiple of 11658 and 11674?

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 11658 and 11674 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 11674, than apply into the LCM equation.

GCF(11658,11674) = 2
LCM(11658,11674) = ( 11658 × 11674) / 2
LCM(11658,11674) = 136095492 / 2
LCM(11658,11674) = 68047746

Least Common Multiple (LCM) of 11658 and 11674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11658 and 11674. First we will calculate the prime factors of 11658 and 11674.

Prime Factorization of 11658

Prime Factorization of 11674

Now multiplying the highest exponent prime factors to calculate the LCM of 11658 and 11674.

LCM(11658,11674) = 2¹ × 3¹ × 29¹ × 67¹ × 13¹ × 449¹
LCM(11658,11674) = 68047746