GCF and LCM Calculator Logo

What is the Least Common Multiple of 18726 and 18732?

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 18726 and 18732 is 58462572.

LCM(18726,18732) = 58462572

LCM Calculator and
and

Least Common Multiple of 18726 and 18732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18726 and 18732, than apply into the LCM equation.

GCF(18726,18732) = 6
LCM(18726,18732) = ( 18726 × 18732) / 6
LCM(18726,18732) = 350775432 / 6
LCM(18726,18732) = 58462572

Least Common Multiple (LCM) of 18726 and 18732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18726 and 18732. First we will calculate the prime factors of 18726 and 18732.

Prime Factorization of 18726

Prime factors of 18726 are 2, 3, 3121. Prime factorization of 18726 in exponential form is:

18726 = 21 × 31 × 31211

Prime Factorization of 18732

Prime factors of 18732 are 2, 3, 7, 223. Prime factorization of 18732 in exponential form is:

18732 = 22 × 31 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 18726 and 18732.

LCM(18726,18732) = 22 × 31 × 31211 × 71 × 2231
LCM(18726,18732) = 58462572