What is the Least Common Multiple of 84024 and 84030?

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 84024 and 84030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84024 and 84030, than apply into the LCM equation.

GCF(84024,84030) = 6
LCM(84024,84030) = ( 84024 × 84030) / 6
LCM(84024,84030) = 7060536720 / 6
LCM(84024,84030) = 1176756120

Least Common Multiple (LCM) of 84024 and 84030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84024 and 84030. First we will calculate the prime factors of 84024 and 84030.

Prime Factorization of 84024

Prime Factorization of 84030

Now multiplying the highest exponent prime factors to calculate the LCM of 84024 and 84030.

LCM(84024,84030) = 2³ × 3³ × 389¹ × 5¹ × 2801¹
LCM(84024,84030) = 1176756120