What is the Least Common Multiple of 5909 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 5909 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 5909 and 5916, than apply into the LCM equation.

GCF(5909,5916) = 1
LCM(5909,5916) = ( 5909 × 5916) / 1
LCM(5909,5916) = 34957644 / 1
LCM(5909,5916) = 34957644

Least Common Multiple (LCM) of 5909 and 5916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5909 and 5916. First we will calculate the prime factors of 5909 and 5916.

Prime Factorization of 5909

Prime Factorization of 5916

Now multiplying the highest exponent prime factors to calculate the LCM of 5909 and 5916.

LCM(5909,5916) = 19¹ × 311¹ × 2² × 3¹ × 17¹ × 29¹
LCM(5909,5916) = 34957644