What is the Least Common Multiple of 42003 and 42007?

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 42003 and 42007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42003 and 42007, than apply into the LCM equation.

GCF(42003,42007) = 1
LCM(42003,42007) = ( 42003 × 42007) / 1
LCM(42003,42007) = 1764420021 / 1
LCM(42003,42007) = 1764420021

Least Common Multiple (LCM) of 42003 and 42007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42003 and 42007. First we will calculate the prime factors of 42003 and 42007.

Prime Factorization of 42003

Prime Factorization of 42007

Now multiplying the highest exponent prime factors to calculate the LCM of 42003 and 42007.

LCM(42003,42007) = 3² × 13¹ × 359¹ × 7¹ × 17¹ × 353¹
LCM(42003,42007) = 1764420021