What is the Least Common Multiple of 75916 and 75930?

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 75916 and 75930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75916 and 75930, than apply into the LCM equation.

GCF(75916,75930) = 2
LCM(75916,75930) = ( 75916 × 75930) / 2
LCM(75916,75930) = 5764301880 / 2
LCM(75916,75930) = 2882150940

Least Common Multiple (LCM) of 75916 and 75930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75916 and 75930. First we will calculate the prime factors of 75916 and 75930.

Prime Factorization of 75916

Prime Factorization of 75930

Now multiplying the highest exponent prime factors to calculate the LCM of 75916 and 75930.

LCM(75916,75930) = 2² × 18979¹ × 3¹ × 5¹ × 2531¹
LCM(75916,75930) = 2882150940