What is the Least Common Multiple of 96032 and 96044?

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 96032 and 96044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96032 and 96044, than apply into the LCM equation.

GCF(96032,96044) = 4
LCM(96032,96044) = ( 96032 × 96044) / 4
LCM(96032,96044) = 9223297408 / 4
LCM(96032,96044) = 2305824352

Least Common Multiple (LCM) of 96032 and 96044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96032 and 96044. First we will calculate the prime factors of 96032 and 96044.

Prime Factorization of 96032

Prime Factorization of 96044

Now multiplying the highest exponent prime factors to calculate the LCM of 96032 and 96044.

LCM(96032,96044) = 2⁵ × 3001¹ × 13¹ × 1847¹
LCM(96032,96044) = 2305824352