What is the Least Common Multiple of 75903 and 75921?

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 75903 and 75921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75903 and 75921, than apply into the LCM equation.

GCF(75903,75921) = 3
LCM(75903,75921) = ( 75903 × 75921) / 3
LCM(75903,75921) = 5762631663 / 3
LCM(75903,75921) = 1920877221

Least Common Multiple (LCM) of 75903 and 75921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75903 and 75921. First we will calculate the prime factors of 75903 and 75921.

Prime Factorization of 75903

Prime Factorization of 75921

Now multiplying the highest exponent prime factors to calculate the LCM of 75903 and 75921.

LCM(75903,75921) = 3¹ × 25301¹ × 25307¹
LCM(75903,75921) = 1920877221