What is the Least Common Multiple of 75921 and 75932?

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 75921 and 75932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75921 and 75932, than apply into the LCM equation.

GCF(75921,75932) = 1
LCM(75921,75932) = ( 75921 × 75932) / 1
LCM(75921,75932) = 5764833372 / 1
LCM(75921,75932) = 5764833372

Least Common Multiple (LCM) of 75921 and 75932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75921 and 75932. First we will calculate the prime factors of 75921 and 75932.

Prime Factorization of 75921

Prime Factorization of 75932

Now multiplying the highest exponent prime factors to calculate the LCM of 75921 and 75932.

LCM(75921,75932) = 3¹ × 25307¹ × 2² × 41¹ × 463¹
LCM(75921,75932) = 5764833372