What is the Least Common Multiple of 73912 and 73924?

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 73912 and 73924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73912 and 73924, than apply into the LCM equation.

GCF(73912,73924) = 4
LCM(73912,73924) = ( 73912 × 73924) / 4
LCM(73912,73924) = 5463870688 / 4
LCM(73912,73924) = 1365967672

Least Common Multiple (LCM) of 73912 and 73924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73912 and 73924. First we will calculate the prime factors of 73912 and 73924.

Prime Factorization of 73912

Prime Factorization of 73924

Now multiplying the highest exponent prime factors to calculate the LCM of 73912 and 73924.

LCM(73912,73924) = 2³ × 9239¹ × 18481¹
LCM(73912,73924) = 1365967672