What is the Least Common Multiple of 84354 and 84360?

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 84354 and 84360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84354 and 84360, than apply into the LCM equation.

GCF(84354,84360) = 6
LCM(84354,84360) = ( 84354 × 84360) / 6
LCM(84354,84360) = 7116103440 / 6
LCM(84354,84360) = 1186017240

Least Common Multiple (LCM) of 84354 and 84360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84354 and 84360. First we will calculate the prime factors of 84354 and 84360.

Prime Factorization of 84354

Prime Factorization of 84360

Now multiplying the highest exponent prime factors to calculate the LCM of 84354 and 84360.

LCM(84354,84360) = 2³ × 3¹ × 17¹ × 827¹ × 5¹ × 19¹ × 37¹
LCM(84354,84360) = 1186017240