GCF and LCM Calculator Logo

What is the Least Common Multiple of 18748 and 18764?

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 18748 and 18764 is 87946868.

LCM(18748,18764) = 87946868

LCM Calculator and
and

Least Common Multiple of 18748 and 18764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18748 and 18764, than apply into the LCM equation.

GCF(18748,18764) = 4
LCM(18748,18764) = ( 18748 × 18764) / 4
LCM(18748,18764) = 351787472 / 4
LCM(18748,18764) = 87946868

Least Common Multiple (LCM) of 18748 and 18764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18748 and 18764. First we will calculate the prime factors of 18748 and 18764.

Prime Factorization of 18748

Prime factors of 18748 are 2, 43, 109. Prime factorization of 18748 in exponential form is:

18748 = 22 × 431 × 1091

Prime Factorization of 18764

Prime factors of 18764 are 2, 4691. Prime factorization of 18764 in exponential form is:

18764 = 22 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 18748 and 18764.

LCM(18748,18764) = 22 × 431 × 1091 × 46911
LCM(18748,18764) = 87946868