What is the Least Common Multiple of 99155 and 99171?

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 99155 and 99171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99155 and 99171, than apply into the LCM equation.

GCF(99155,99171) = 1
LCM(99155,99171) = ( 99155 × 99171) / 1
LCM(99155,99171) = 9833300505 / 1
LCM(99155,99171) = 9833300505

Least Common Multiple (LCM) of 99155 and 99171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99155 and 99171. First we will calculate the prime factors of 99155 and 99171.

Prime Factorization of 99155

Prime Factorization of 99171

Now multiplying the highest exponent prime factors to calculate the LCM of 99155 and 99171.

LCM(99155,99171) = 5¹ × 7¹ × 2833¹ × 3³ × 3673¹
LCM(99155,99171) = 9833300505