What is the Least Common Multiple of 83196 and 83203?

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 83196 and 83203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83196 and 83203, than apply into the LCM equation.

GCF(83196,83203) = 1
LCM(83196,83203) = ( 83196 × 83203) / 1
LCM(83196,83203) = 6922156788 / 1
LCM(83196,83203) = 6922156788

Least Common Multiple (LCM) of 83196 and 83203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83196 and 83203. First we will calculate the prime factors of 83196 and 83203.

Prime Factorization of 83196

Prime Factorization of 83203

Now multiplying the highest exponent prime factors to calculate the LCM of 83196 and 83203.

LCM(83196,83203) = 2² × 3² × 2311¹ × 83203¹
LCM(83196,83203) = 6922156788