What is the Least Common Multiple of 99585 and 99601?

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 99585 and 99601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99585 and 99601, than apply into the LCM equation.

GCF(99585,99601) = 1
LCM(99585,99601) = ( 99585 × 99601) / 1
LCM(99585,99601) = 9918765585 / 1
LCM(99585,99601) = 9918765585

Least Common Multiple (LCM) of 99585 and 99601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99585 and 99601. First we will calculate the prime factors of 99585 and 99601.

Prime Factorization of 99585

Prime Factorization of 99601

Now multiplying the highest exponent prime factors to calculate the LCM of 99585 and 99601.

LCM(99585,99601) = 3² × 5¹ × 2213¹ × 103¹ × 967¹
LCM(99585,99601) = 9918765585