What is the Least Common Multiple of 49023 and 49043?

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 49023 and 49043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49023 and 49043, than apply into the LCM equation.

GCF(49023,49043) = 1
LCM(49023,49043) = ( 49023 × 49043) / 1
LCM(49023,49043) = 2404234989 / 1
LCM(49023,49043) = 2404234989

Least Common Multiple (LCM) of 49023 and 49043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49023 and 49043. First we will calculate the prime factors of 49023 and 49043.

Prime Factorization of 49023

Prime Factorization of 49043

Now multiplying the highest exponent prime factors to calculate the LCM of 49023 and 49043.

LCM(49023,49043) = 3² × 13¹ × 419¹ × 49043¹
LCM(49023,49043) = 2404234989