What is the Least Common Multiple of 99905 and 99912?

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 99905 and 99912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99905 and 99912, than apply into the LCM equation.

GCF(99905,99912) = 1
LCM(99905,99912) = ( 99905 × 99912) / 1
LCM(99905,99912) = 9981708360 / 1
LCM(99905,99912) = 9981708360

Least Common Multiple (LCM) of 99905 and 99912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99905 and 99912. First we will calculate the prime factors of 99905 and 99912.

Prime Factorization of 99905

Prime Factorization of 99912

Now multiplying the highest exponent prime factors to calculate the LCM of 99905 and 99912.

LCM(99905,99912) = 5¹ × 13¹ × 29¹ × 53¹ × 2³ × 3¹ × 23¹ × 181¹
LCM(99905,99912) = 9981708360