What is the Least Common Multiple of 99626 and 99639?

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 99626 and 99639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99626 and 99639, than apply into the LCM equation.

GCF(99626,99639) = 1
LCM(99626,99639) = ( 99626 × 99639) / 1
LCM(99626,99639) = 9926635014 / 1
LCM(99626,99639) = 9926635014

Least Common Multiple (LCM) of 99626 and 99639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99626 and 99639. First we will calculate the prime factors of 99626 and 99639.

Prime Factorization of 99626

Prime Factorization of 99639

Now multiplying the highest exponent prime factors to calculate the LCM of 99626 and 99639.

LCM(99626,99639) = 2¹ × 109¹ × 457¹ × 3² × 11071¹
LCM(99626,99639) = 9926635014