What is the Least Common Multiple of 83310 and 83320?

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 83310 and 83320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83310 and 83320, than apply into the LCM equation.

GCF(83310,83320) = 10
LCM(83310,83320) = ( 83310 × 83320) / 10
LCM(83310,83320) = 6941389200 / 10
LCM(83310,83320) = 694138920

Least Common Multiple (LCM) of 83310 and 83320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83310 and 83320. First we will calculate the prime factors of 83310 and 83320.

Prime Factorization of 83310

Prime Factorization of 83320

Now multiplying the highest exponent prime factors to calculate the LCM of 83310 and 83320.

LCM(83310,83320) = 2³ × 3¹ × 5¹ × 2777¹ × 2083¹
LCM(83310,83320) = 694138920