What is the Least Common Multiple of 83340 and 83360?

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 83340 and 83360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83340 and 83360, than apply into the LCM equation.

GCF(83340,83360) = 20
LCM(83340,83360) = ( 83340 × 83360) / 20
LCM(83340,83360) = 6947222400 / 20
LCM(83340,83360) = 347361120

Least Common Multiple (LCM) of 83340 and 83360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83340 and 83360. First we will calculate the prime factors of 83340 and 83360.

Prime Factorization of 83340

Prime Factorization of 83360

Now multiplying the highest exponent prime factors to calculate the LCM of 83340 and 83360.

LCM(83340,83360) = 2⁵ × 3² × 5¹ × 463¹ × 521¹
LCM(83340,83360) = 347361120