What is the Least Common Multiple of 99605 and 99622?

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 99605 and 99622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99605 and 99622, than apply into the LCM equation.

GCF(99605,99622) = 1
LCM(99605,99622) = ( 99605 × 99622) / 1
LCM(99605,99622) = 9922849310 / 1
LCM(99605,99622) = 9922849310

Least Common Multiple (LCM) of 99605 and 99622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99605 and 99622. First we will calculate the prime factors of 99605 and 99622.

Prime Factorization of 99605

Prime Factorization of 99622

Now multiplying the highest exponent prime factors to calculate the LCM of 99605 and 99622.

LCM(99605,99622) = 5¹ × 11¹ × 1811¹ × 2¹ × 49811¹
LCM(99605,99622) = 9922849310