What is the Least Common Multiple of 75904 and 75918?

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 75904 and 75918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75904 and 75918, than apply into the LCM equation.

GCF(75904,75918) = 2
LCM(75904,75918) = ( 75904 × 75918) / 2
LCM(75904,75918) = 5762479872 / 2
LCM(75904,75918) = 2881239936

Least Common Multiple (LCM) of 75904 and 75918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75904 and 75918. First we will calculate the prime factors of 75904 and 75918.

Prime Factorization of 75904

Prime Factorization of 75918

Now multiplying the highest exponent prime factors to calculate the LCM of 75904 and 75918.

LCM(75904,75918) = 2⁷ × 593¹ × 3¹ × 12653¹
LCM(75904,75918) = 2881239936