What is the Least Common Multiple of 92599 and 92616?

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 92599 and 92616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92599 and 92616, than apply into the LCM equation.

GCF(92599,92616) = 17
LCM(92599,92616) = ( 92599 × 92616) / 17
LCM(92599,92616) = 8576148984 / 17
LCM(92599,92616) = 504479352

Least Common Multiple (LCM) of 92599 and 92616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92599 and 92616. First we will calculate the prime factors of 92599 and 92616.

Prime Factorization of 92599

Prime Factorization of 92616

Now multiplying the highest exponent prime factors to calculate the LCM of 92599 and 92616.

LCM(92599,92616) = 13¹ × 17¹ × 419¹ × 2³ × 3¹ × 227¹
LCM(92599,92616) = 504479352