What is the Least Common Multiple of 99172 and 99186?

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 99172 and 99186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99172 and 99186, than apply into the LCM equation.

GCF(99172,99186) = 2
LCM(99172,99186) = ( 99172 × 99186) / 2
LCM(99172,99186) = 9836473992 / 2
LCM(99172,99186) = 4918236996

Least Common Multiple (LCM) of 99172 and 99186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99172 and 99186. First we will calculate the prime factors of 99172 and 99186.

Prime Factorization of 99172

Prime Factorization of 99186

Now multiplying the highest exponent prime factors to calculate the LCM of 99172 and 99186.

LCM(99172,99186) = 2² × 24793¹ × 3¹ × 61¹ × 271¹
LCM(99172,99186) = 4918236996