GCF and LCM Calculator Logo

What is the Least Common Multiple of 18739 and 18746?

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 18739 and 18746 is 50183042.

LCM(18739,18746) = 50183042

LCM Calculator and
and

Least Common Multiple of 18739 and 18746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18739 and 18746, than apply into the LCM equation.

GCF(18739,18746) = 7
LCM(18739,18746) = ( 18739 × 18746) / 7
LCM(18739,18746) = 351281294 / 7
LCM(18739,18746) = 50183042

Least Common Multiple (LCM) of 18739 and 18746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18739 and 18746. First we will calculate the prime factors of 18739 and 18746.

Prime Factorization of 18739

Prime factors of 18739 are 7, 2677. Prime factorization of 18739 in exponential form is:

18739 = 71 × 26771

Prime Factorization of 18746

Prime factors of 18746 are 2, 7, 13, 103. Prime factorization of 18746 in exponential form is:

18746 = 21 × 71 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 18739 and 18746.

LCM(18739,18746) = 71 × 26771 × 21 × 131 × 1031
LCM(18739,18746) = 50183042