What is the Least Common Multiple of 1904 and 1921?

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 1921 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 1921, than apply into the LCM equation.

GCF(1904,1921) = 17
LCM(1904,1921) = ( 1904 × 1921) / 17
LCM(1904,1921) = 3657584 / 17
LCM(1904,1921) = 215152

Least Common Multiple (LCM) of 1904 and 1921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1921. First we will calculate the prime factors of 1904 and 1921.

Prime Factorization of 1904

Prime Factorization of 1921

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1921.

LCM(1904,1921) = 2⁴ × 7¹ × 17¹ × 113¹
LCM(1904,1921) = 215152