What is the Least Common Multiple of 91192 and 91199?

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 91192 and 91199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91192 and 91199, than apply into the LCM equation.

GCF(91192,91199) = 1
LCM(91192,91199) = ( 91192 × 91199) / 1
LCM(91192,91199) = 8316619208 / 1
LCM(91192,91199) = 8316619208

Least Common Multiple (LCM) of 91192 and 91199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91192 and 91199. First we will calculate the prime factors of 91192 and 91199.

Prime Factorization of 91192

Prime Factorization of 91199

Now multiplying the highest exponent prime factors to calculate the LCM of 91192 and 91199.

LCM(91192,91199) = 2³ × 11399¹ × 91199¹
LCM(91192,91199) = 8316619208