GCF and LCM Calculator Logo

What is the Least Common Multiple of 1884 and 1900?

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 1884 and 1900 is 894900.

LCM(1884,1900) = 894900

LCM Calculator and
and

Least Common Multiple of 1884 and 1900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1884 and 1900, than apply into the LCM equation.

GCF(1884,1900) = 4
LCM(1884,1900) = ( 1884 × 1900) / 4
LCM(1884,1900) = 3579600 / 4
LCM(1884,1900) = 894900

Least Common Multiple (LCM) of 1884 and 1900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1884 and 1900. First we will calculate the prime factors of 1884 and 1900.

Prime Factorization of 1884

Prime factors of 1884 are 2, 3, 157. Prime factorization of 1884 in exponential form is:

1884 = 22 × 31 × 1571

Prime Factorization of 1900

Prime factors of 1900 are 2, 5, 19. Prime factorization of 1900 in exponential form is:

1900 = 22 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1884 and 1900.

LCM(1884,1900) = 22 × 31 × 1571 × 52 × 191
LCM(1884,1900) = 894900