What is the Least Common Multiple of 75864 and 75883?

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 75864 and 75883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75864 and 75883, than apply into the LCM equation.

GCF(75864,75883) = 1
LCM(75864,75883) = ( 75864 × 75883) / 1
LCM(75864,75883) = 5756787912 / 1
LCM(75864,75883) = 5756787912

Least Common Multiple (LCM) of 75864 and 75883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75864 and 75883. First we will calculate the prime factors of 75864 and 75883.

Prime Factorization of 75864

Prime Factorization of 75883

Now multiplying the highest exponent prime factors to calculate the LCM of 75864 and 75883.

LCM(75864,75883) = 2³ × 3¹ × 29¹ × 109¹ × 75883¹
LCM(75864,75883) = 5756787912