GCF and LCM Calculator Logo

What is the Least Common Multiple of 18722 and 18735?

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 18722 and 18735 is 350756670.

LCM(18722,18735) = 350756670

LCM Calculator and
and

Least Common Multiple of 18722 and 18735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18722 and 18735, than apply into the LCM equation.

GCF(18722,18735) = 1
LCM(18722,18735) = ( 18722 × 18735) / 1
LCM(18722,18735) = 350756670 / 1
LCM(18722,18735) = 350756670

Least Common Multiple (LCM) of 18722 and 18735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18722 and 18735. First we will calculate the prime factors of 18722 and 18735.

Prime Factorization of 18722

Prime factors of 18722 are 2, 11, 23, 37. Prime factorization of 18722 in exponential form is:

18722 = 21 × 111 × 231 × 371

Prime Factorization of 18735

Prime factors of 18735 are 3, 5, 1249. Prime factorization of 18735 in exponential form is:

18735 = 31 × 51 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 18722 and 18735.

LCM(18722,18735) = 21 × 111 × 231 × 371 × 31 × 51 × 12491
LCM(18722,18735) = 350756670