What is the Least Common Multiple of 99165 and 99174?

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 99165 and 99174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99165 and 99174, than apply into the LCM equation.

GCF(99165,99174) = 3
LCM(99165,99174) = ( 99165 × 99174) / 3
LCM(99165,99174) = 9834589710 / 3
LCM(99165,99174) = 3278196570

Least Common Multiple (LCM) of 99165 and 99174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99165 and 99174. First we will calculate the prime factors of 99165 and 99174.

Prime Factorization of 99165

Prime Factorization of 99174

Now multiplying the highest exponent prime factors to calculate the LCM of 99165 and 99174.

LCM(99165,99174) = 3¹ × 5¹ × 11¹ × 601¹ × 2¹ × 16529¹
LCM(99165,99174) = 3278196570