What is the Least Common Multiple of 67003 and 67023?

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 67003 and 67023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67003 and 67023, than apply into the LCM equation.

GCF(67003,67023) = 1
LCM(67003,67023) = ( 67003 × 67023) / 1
LCM(67003,67023) = 4490742069 / 1
LCM(67003,67023) = 4490742069

Least Common Multiple (LCM) of 67003 and 67023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67003 and 67023. First we will calculate the prime factors of 67003 and 67023.

Prime Factorization of 67003

Prime Factorization of 67023

Now multiplying the highest exponent prime factors to calculate the LCM of 67003 and 67023.

LCM(67003,67023) = 67003¹ × 3² × 11¹ × 677¹
LCM(67003,67023) = 4490742069