What is the Least Common Multiple of 99196 and 99206?

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 99196 and 99206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99196 and 99206, than apply into the LCM equation.

GCF(99196,99206) = 2
LCM(99196,99206) = ( 99196 × 99206) / 2
LCM(99196,99206) = 9840838376 / 2
LCM(99196,99206) = 4920419188

Least Common Multiple (LCM) of 99196 and 99206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99196 and 99206. First we will calculate the prime factors of 99196 and 99206.

Prime Factorization of 99196

Prime Factorization of 99206

Now multiplying the highest exponent prime factors to calculate the LCM of 99196 and 99206.

LCM(99196,99206) = 2² × 24799¹ × 49603¹
LCM(99196,99206) = 4920419188