GCF and LCM Calculator Logo

What is the Least Common Multiple of 1904 and 1918?

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 1904 and 1918 is 260848.

LCM(1904,1918) = 260848

LCM Calculator and
and

Least Common Multiple of 1904 and 1918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1904 and 1918, than apply into the LCM equation.

GCF(1904,1918) = 14
LCM(1904,1918) = ( 1904 × 1918) / 14
LCM(1904,1918) = 3651872 / 14
LCM(1904,1918) = 260848

Least Common Multiple (LCM) of 1904 and 1918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1918. First we will calculate the prime factors of 1904 and 1918.

Prime Factorization of 1904

Prime factors of 1904 are 2, 7, 17. Prime factorization of 1904 in exponential form is:

1904 = 24 × 71 × 171

Prime Factorization of 1918

Prime factors of 1918 are 2, 7, 137. Prime factorization of 1918 in exponential form is:

1918 = 21 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1918.

LCM(1904,1918) = 24 × 71 × 171 × 1371
LCM(1904,1918) = 260848