What is the Least Common Multiple of 1912 and 1932?

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 1912 and 1932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1912 and 1932, than apply into the LCM equation.

GCF(1912,1932) = 4
LCM(1912,1932) = ( 1912 × 1932) / 4
LCM(1912,1932) = 3693984 / 4
LCM(1912,1932) = 923496

Least Common Multiple (LCM) of 1912 and 1932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1912 and 1932. First we will calculate the prime factors of 1912 and 1932.

Prime Factorization of 1912

Prime Factorization of 1932

Now multiplying the highest exponent prime factors to calculate the LCM of 1912 and 1932.

LCM(1912,1932) = 2³ × 239¹ × 3¹ × 7¹ × 23¹
LCM(1912,1932) = 923496