What is the Least Common Multiple of 99140 and 99160?

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 99140 and 99160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99140 and 99160, than apply into the LCM equation.

GCF(99140,99160) = 20
LCM(99140,99160) = ( 99140 × 99160) / 20
LCM(99140,99160) = 9830722400 / 20
LCM(99140,99160) = 491536120

Least Common Multiple (LCM) of 99140 and 99160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99140 and 99160. First we will calculate the prime factors of 99140 and 99160.

Prime Factorization of 99140

Prime Factorization of 99160

Now multiplying the highest exponent prime factors to calculate the LCM of 99140 and 99160.

LCM(99140,99160) = 2³ × 5¹ × 4957¹ × 37¹ × 67¹
LCM(99140,99160) = 491536120