What is the Least Common Multiple of 59104 and 59119?

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 59104 and 59119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59104 and 59119, than apply into the LCM equation.

GCF(59104,59119) = 1
LCM(59104,59119) = ( 59104 × 59119) / 1
LCM(59104,59119) = 3494169376 / 1
LCM(59104,59119) = 3494169376

Least Common Multiple (LCM) of 59104 and 59119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59104 and 59119. First we will calculate the prime factors of 59104 and 59119.

Prime Factorization of 59104

Prime Factorization of 59119

Now multiplying the highest exponent prime factors to calculate the LCM of 59104 and 59119.

LCM(59104,59119) = 2⁵ × 1847¹ × 59119¹
LCM(59104,59119) = 3494169376