What is the Least Common Multiple of 99135 and 99140?

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 99140 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 99140, than apply into the LCM equation.

GCF(99135,99140) = 5
LCM(99135,99140) = ( 99135 × 99140) / 5
LCM(99135,99140) = 9828243900 / 5
LCM(99135,99140) = 1965648780

Least Common Multiple (LCM) of 99135 and 99140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99135 and 99140. First we will calculate the prime factors of 99135 and 99140.

Prime Factorization of 99135

Prime Factorization of 99140

Now multiplying the highest exponent prime factors to calculate the LCM of 99135 and 99140.

LCM(99135,99140) = 3² × 5¹ × 2203¹ × 2² × 4957¹
LCM(99135,99140) = 1965648780