What is the Least Common Multiple of 38023 and 38043?

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 38023 and 38043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38023 and 38043, than apply into the LCM equation.

GCF(38023,38043) = 1
LCM(38023,38043) = ( 38023 × 38043) / 1
LCM(38023,38043) = 1446508989 / 1
LCM(38023,38043) = 1446508989

Least Common Multiple (LCM) of 38023 and 38043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38023 and 38043. First we will calculate the prime factors of 38023 and 38043.

Prime Factorization of 38023

Prime Factorization of 38043

Now multiplying the highest exponent prime factors to calculate the LCM of 38023 and 38043.

LCM(38023,38043) = 47¹ × 809¹ × 3³ × 1409¹
LCM(38023,38043) = 1446508989