What is the Least Common Multiple of 75984 and 76004?

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 75984 and 76004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75984 and 76004, than apply into the LCM equation.

GCF(75984,76004) = 4
LCM(75984,76004) = ( 75984 × 76004) / 4
LCM(75984,76004) = 5775087936 / 4
LCM(75984,76004) = 1443771984

Least Common Multiple (LCM) of 75984 and 76004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75984 and 76004. First we will calculate the prime factors of 75984 and 76004.

Prime Factorization of 75984

Prime Factorization of 76004

Now multiplying the highest exponent prime factors to calculate the LCM of 75984 and 76004.

LCM(75984,76004) = 2⁴ × 3¹ × 1583¹ × 19001¹
LCM(75984,76004) = 1443771984