What is the Least Common Multiple of 59109 and 59116?

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 59109 and 59116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59109 and 59116, than apply into the LCM equation.

GCF(59109,59116) = 1
LCM(59109,59116) = ( 59109 × 59116) / 1
LCM(59109,59116) = 3494287644 / 1
LCM(59109,59116) = 3494287644

Least Common Multiple (LCM) of 59109 and 59116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59109 and 59116. First we will calculate the prime factors of 59109 and 59116.

Prime Factorization of 59109

Prime Factorization of 59116

Now multiplying the highest exponent prime factors to calculate the LCM of 59109 and 59116.

LCM(59109,59116) = 3¹ × 17¹ × 19¹ × 61¹ × 2² × 14779¹
LCM(59109,59116) = 3494287644