What is the Least Common Multiple of 59192 and 59199?

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 59192 and 59199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59192 and 59199, than apply into the LCM equation.

GCF(59192,59199) = 7
LCM(59192,59199) = ( 59192 × 59199) / 7
LCM(59192,59199) = 3504107208 / 7
LCM(59192,59199) = 500586744

Least Common Multiple (LCM) of 59192 and 59199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59192 and 59199. First we will calculate the prime factors of 59192 and 59199.

Prime Factorization of 59192

Prime Factorization of 59199

Now multiplying the highest exponent prime factors to calculate the LCM of 59192 and 59199.

LCM(59192,59199) = 2³ × 7² × 151¹ × 3¹ × 2819¹
LCM(59192,59199) = 500586744