What is the Least Common Multiple of 99135 and 99145?

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 99135 and 99145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99135 and 99145, than apply into the LCM equation.

GCF(99135,99145) = 5
LCM(99135,99145) = ( 99135 × 99145) / 5
LCM(99135,99145) = 9828739575 / 5
LCM(99135,99145) = 1965747915

Least Common Multiple (LCM) of 99135 and 99145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99135 and 99145. First we will calculate the prime factors of 99135 and 99145.

Prime Factorization of 99135

Prime Factorization of 99145

Now multiplying the highest exponent prime factors to calculate the LCM of 99135 and 99145.

LCM(99135,99145) = 3² × 5¹ × 2203¹ × 79¹ × 251¹
LCM(99135,99145) = 1965747915