What is the Least Common Multiple of 42006 and 42021?

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 42006 and 42021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42006 and 42021, than apply into the LCM equation.

GCF(42006,42021) = 3
LCM(42006,42021) = ( 42006 × 42021) / 3
LCM(42006,42021) = 1765134126 / 3
LCM(42006,42021) = 588378042

Least Common Multiple (LCM) of 42006 and 42021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42006 and 42021. First we will calculate the prime factors of 42006 and 42021.

Prime Factorization of 42006

Prime Factorization of 42021

Now multiplying the highest exponent prime factors to calculate the LCM of 42006 and 42021.

LCM(42006,42021) = 2¹ × 3² × 7001¹ × 7¹ × 23¹ × 29¹
LCM(42006,42021) = 588378042