What is the Least Common Multiple of 1908 and 1925?

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 1908 and 1925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1908 and 1925, than apply into the LCM equation.

GCF(1908,1925) = 1
LCM(1908,1925) = ( 1908 × 1925) / 1
LCM(1908,1925) = 3672900 / 1
LCM(1908,1925) = 3672900

Least Common Multiple (LCM) of 1908 and 1925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1908 and 1925. First we will calculate the prime factors of 1908 and 1925.

Prime Factorization of 1908

Prime Factorization of 1925

Now multiplying the highest exponent prime factors to calculate the LCM of 1908 and 1925.

LCM(1908,1925) = 2² × 3² × 53¹ × 5² × 7¹ × 11¹
LCM(1908,1925) = 3672900