What is the Least Common Multiple of 99023 and 99043?

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 99023 and 99043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99023 and 99043, than apply into the LCM equation.

GCF(99023,99043) = 1
LCM(99023,99043) = ( 99023 × 99043) / 1
LCM(99023,99043) = 9807534989 / 1
LCM(99023,99043) = 9807534989

Least Common Multiple (LCM) of 99023 and 99043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99023 and 99043. First we will calculate the prime factors of 99023 and 99043.

Prime Factorization of 99023

Prime Factorization of 99043

Now multiplying the highest exponent prime factors to calculate the LCM of 99023 and 99043.

LCM(99023,99043) = 99023¹ × 7¹ × 14149¹
LCM(99023,99043) = 9807534989