What is the Least Common Multiple of 99066 and 99083?

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 99066 and 99083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99066 and 99083, than apply into the LCM equation.

GCF(99066,99083) = 1
LCM(99066,99083) = ( 99066 × 99083) / 1
LCM(99066,99083) = 9815756478 / 1
LCM(99066,99083) = 9815756478

Least Common Multiple (LCM) of 99066 and 99083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99066 and 99083. First we will calculate the prime factors of 99066 and 99083.

Prime Factorization of 99066

Prime Factorization of 99083

Now multiplying the highest exponent prime factors to calculate the LCM of 99066 and 99083.

LCM(99066,99083) = 2¹ × 3¹ × 11¹ × 19¹ × 79¹ × 99083¹
LCM(99066,99083) = 9815756478