What is the Least Common Multiple of 1904 and 1922?

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 of 1904 and 1922 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 1922, than apply into the LCM equation.

GCF(1904,1922) = 2
LCM(1904,1922) = ( 1904 × 1922) / 2
LCM(1904,1922) = 3659488 / 2
LCM(1904,1922) = 1829744

Least Common Multiple (LCM) of 1904 and 1922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1922. First we will calculate the prime factors of 1904 and 1922.

Prime Factorization of 1904

Prime Factorization of 1922

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1922.

LCM(1904,1922) = 2⁴ × 7¹ × 17¹ × 31²
LCM(1904,1922) = 1829744