What is the Least Common Multiple of 83380 and 83400?

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 83380 and 83400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83380 and 83400, than apply into the LCM equation.

GCF(83380,83400) = 20
LCM(83380,83400) = ( 83380 × 83400) / 20
LCM(83380,83400) = 6953892000 / 20
LCM(83380,83400) = 347694600

Least Common Multiple (LCM) of 83380 and 83400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83380 and 83400. First we will calculate the prime factors of 83380 and 83400.

Prime Factorization of 83380

Prime Factorization of 83400

Now multiplying the highest exponent prime factors to calculate the LCM of 83380 and 83400.

LCM(83380,83400) = 2³ × 5² × 11¹ × 379¹ × 3¹ × 139¹
LCM(83380,83400) = 347694600