What is the Least Common Multiple of 84480 and 84489?

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 84480 and 84489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84480 and 84489, than apply into the LCM equation.

GCF(84480,84489) = 3
LCM(84480,84489) = ( 84480 × 84489) / 3
LCM(84480,84489) = 7137630720 / 3
LCM(84480,84489) = 2379210240

Least Common Multiple (LCM) of 84480 and 84489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84480 and 84489. First we will calculate the prime factors of 84480 and 84489.

Prime Factorization of 84480

Prime Factorization of 84489

Now multiplying the highest exponent prime factors to calculate the LCM of 84480 and 84489.

LCM(84480,84489) = 2⁹ × 3¹ × 5¹ × 11¹ × 28163¹
LCM(84480,84489) = 2379210240