What is the Least Common Multiple of 1915 and 1935?

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 1915 and 1935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1915 and 1935, than apply into the LCM equation.

GCF(1915,1935) = 5
LCM(1915,1935) = ( 1915 × 1935) / 5
LCM(1915,1935) = 3705525 / 5
LCM(1915,1935) = 741105

Least Common Multiple (LCM) of 1915 and 1935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1915 and 1935. First we will calculate the prime factors of 1915 and 1935.

Prime Factorization of 1915

Prime Factorization of 1935

Now multiplying the highest exponent prime factors to calculate the LCM of 1915 and 1935.

LCM(1915,1935) = 5¹ × 383¹ × 3² × 43¹
LCM(1915,1935) = 741105