What is the Least Common Multiple of 99112 and 99122?

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 99112 and 99122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99112 and 99122, than apply into the LCM equation.

GCF(99112,99122) = 2
LCM(99112,99122) = ( 99112 × 99122) / 2
LCM(99112,99122) = 9824179664 / 2
LCM(99112,99122) = 4912089832

Least Common Multiple (LCM) of 99112 and 99122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99112 and 99122. First we will calculate the prime factors of 99112 and 99122.

Prime Factorization of 99112

Prime Factorization of 99122

Now multiplying the highest exponent prime factors to calculate the LCM of 99112 and 99122.

LCM(99112,99122) = 2³ × 13¹ × 953¹ × 29¹ × 1709¹
LCM(99112,99122) = 4912089832