What is the Least Common Multiple of 84360 and 84369?

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 84360 and 84369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84360 and 84369, than apply into the LCM equation.

GCF(84360,84369) = 3
LCM(84360,84369) = ( 84360 × 84369) / 3
LCM(84360,84369) = 7117368840 / 3
LCM(84360,84369) = 2372456280

Least Common Multiple (LCM) of 84360 and 84369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84360 and 84369. First we will calculate the prime factors of 84360 and 84369.

Prime Factorization of 84360

Prime Factorization of 84369

Now multiplying the highest exponent prime factors to calculate the LCM of 84360 and 84369.

LCM(84360,84369) = 2³ × 3¹ × 5¹ × 19¹ × 37¹ × 28123¹
LCM(84360,84369) = 2372456280