What is the Least Common Multiple of 83300 and 83310?

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 83300 and 83310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83300 and 83310, than apply into the LCM equation.

GCF(83300,83310) = 10
LCM(83300,83310) = ( 83300 × 83310) / 10
LCM(83300,83310) = 6939723000 / 10
LCM(83300,83310) = 693972300

Least Common Multiple (LCM) of 83300 and 83310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83300 and 83310. First we will calculate the prime factors of 83300 and 83310.

Prime Factorization of 83300

Prime Factorization of 83310

Now multiplying the highest exponent prime factors to calculate the LCM of 83300 and 83310.

LCM(83300,83310) = 2² × 5² × 7² × 17¹ × 3¹ × 2777¹
LCM(83300,83310) = 693972300