What is the Least Common Multiple of 42024 and 42036?

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 42024 and 42036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42024 and 42036, than apply into the LCM equation.

GCF(42024,42036) = 12
LCM(42024,42036) = ( 42024 × 42036) / 12
LCM(42024,42036) = 1766520864 / 12
LCM(42024,42036) = 147210072

Least Common Multiple (LCM) of 42024 and 42036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42024 and 42036. First we will calculate the prime factors of 42024 and 42036.

Prime Factorization of 42024

Prime Factorization of 42036

Now multiplying the highest exponent prime factors to calculate the LCM of 42024 and 42036.

LCM(42024,42036) = 2³ × 3¹ × 17¹ × 103¹ × 31¹ × 113¹
LCM(42024,42036) = 147210072