What is the Least Common Multiple of 5901 and 5916?

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 5901 and 5916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5901 and 5916, than apply into the LCM equation.

GCF(5901,5916) = 3
LCM(5901,5916) = ( 5901 × 5916) / 3
LCM(5901,5916) = 34910316 / 3
LCM(5901,5916) = 11636772

Least Common Multiple (LCM) of 5901 and 5916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5901 and 5916. First we will calculate the prime factors of 5901 and 5916.

Prime Factorization of 5901

Prime Factorization of 5916

Now multiplying the highest exponent prime factors to calculate the LCM of 5901 and 5916.

LCM(5901,5916) = 3¹ × 7¹ × 281¹ × 2² × 17¹ × 29¹
LCM(5901,5916) = 11636772