What is the Least Common Multiple of 96004 and 96020?

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 96004 and 96020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96004 and 96020, than apply into the LCM equation.

GCF(96004,96020) = 4
LCM(96004,96020) = ( 96004 × 96020) / 4
LCM(96004,96020) = 9218304080 / 4
LCM(96004,96020) = 2304576020

Least Common Multiple (LCM) of 96004 and 96020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96004 and 96020. First we will calculate the prime factors of 96004 and 96020.

Prime Factorization of 96004

Prime Factorization of 96020

Now multiplying the highest exponent prime factors to calculate the LCM of 96004 and 96020.

LCM(96004,96020) = 2² × 24001¹ × 5¹ × 4801¹
LCM(96004,96020) = 2304576020