What is the Least Common Multiple of 75930 and 75950?

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 75930 and 75950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75930 and 75950, than apply into the LCM equation.

GCF(75930,75950) = 10
LCM(75930,75950) = ( 75930 × 75950) / 10
LCM(75930,75950) = 5766883500 / 10
LCM(75930,75950) = 576688350

Least Common Multiple (LCM) of 75930 and 75950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75930 and 75950. First we will calculate the prime factors of 75930 and 75950.

Prime Factorization of 75930

Prime Factorization of 75950

Now multiplying the highest exponent prime factors to calculate the LCM of 75930 and 75950.

LCM(75930,75950) = 2¹ × 3¹ × 5² × 2531¹ × 7² × 31¹
LCM(75930,75950) = 576688350