What is the Least Common Multiple of 5910 and 5924?

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 5910 and 5924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5910 and 5924, than apply into the LCM equation.

GCF(5910,5924) = 2
LCM(5910,5924) = ( 5910 × 5924) / 2
LCM(5910,5924) = 35010840 / 2
LCM(5910,5924) = 17505420

Least Common Multiple (LCM) of 5910 and 5924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5910 and 5924. First we will calculate the prime factors of 5910 and 5924.

Prime Factorization of 5910

Prime Factorization of 5924

Now multiplying the highest exponent prime factors to calculate the LCM of 5910 and 5924.

LCM(5910,5924) = 2² × 3¹ × 5¹ × 197¹ × 1481¹
LCM(5910,5924) = 17505420