GCF and LCM Calculator Logo

What is the Least Common Multiple of 18745 and 18762?

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 18745 and 18762 is 351693690.

LCM(18745,18762) = 351693690

LCM Calculator and
and

Least Common Multiple of 18745 and 18762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18745 and 18762, than apply into the LCM equation.

GCF(18745,18762) = 1
LCM(18745,18762) = ( 18745 × 18762) / 1
LCM(18745,18762) = 351693690 / 1
LCM(18745,18762) = 351693690

Least Common Multiple (LCM) of 18745 and 18762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18745 and 18762. First we will calculate the prime factors of 18745 and 18762.

Prime Factorization of 18745

Prime factors of 18745 are 5, 23, 163. Prime factorization of 18745 in exponential form is:

18745 = 51 × 231 × 1631

Prime Factorization of 18762

Prime factors of 18762 are 2, 3, 53, 59. Prime factorization of 18762 in exponential form is:

18762 = 21 × 31 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18745 and 18762.

LCM(18745,18762) = 51 × 231 × 1631 × 21 × 31 × 531 × 591
LCM(18745,18762) = 351693690