What is the Least Common Multiple of 75944 and 75959?

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 75944 and 75959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75944 and 75959, than apply into the LCM equation.

GCF(75944,75959) = 1
LCM(75944,75959) = ( 75944 × 75959) / 1
LCM(75944,75959) = 5768630296 / 1
LCM(75944,75959) = 5768630296

Least Common Multiple (LCM) of 75944 and 75959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75944 and 75959. First we will calculate the prime factors of 75944 and 75959.

Prime Factorization of 75944

Prime Factorization of 75959

Now multiplying the highest exponent prime factors to calculate the LCM of 75944 and 75959.

LCM(75944,75959) = 2³ × 11¹ × 863¹ × 13¹ × 5843¹
LCM(75944,75959) = 5768630296