What is the Least Common Multiple of 5916 and 5930?

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 5916 and 5930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5916 and 5930, than apply into the LCM equation.

GCF(5916,5930) = 2
LCM(5916,5930) = ( 5916 × 5930) / 2
LCM(5916,5930) = 35081880 / 2
LCM(5916,5930) = 17540940

Least Common Multiple (LCM) of 5916 and 5930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5916 and 5930. First we will calculate the prime factors of 5916 and 5930.

Prime Factorization of 5916

Prime Factorization of 5930

Now multiplying the highest exponent prime factors to calculate the LCM of 5916 and 5930.

LCM(5916,5930) = 2² × 3¹ × 17¹ × 29¹ × 5¹ × 593¹
LCM(5916,5930) = 17540940