What is the Least Common Multiple of 96032 and 96046?

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 96046 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 96046, than apply into the LCM equation.

GCF(96032,96046) = 2
LCM(96032,96046) = ( 96032 × 96046) / 2
LCM(96032,96046) = 9223489472 / 2
LCM(96032,96046) = 4611744736

Least Common Multiple (LCM) of 96032 and 96046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96032 and 96046. First we will calculate the prime factors of 96032 and 96046.

Prime Factorization of 96032

Prime Factorization of 96046

Now multiplying the highest exponent prime factors to calculate the LCM of 96032 and 96046.

LCM(96032,96046) = 2⁵ × 3001¹ × 48023¹
LCM(96032,96046) = 4611744736