What is the Least Common Multiple of 80193 and 80203?

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 80193 and 80203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80193 and 80203, than apply into the LCM equation.

GCF(80193,80203) = 1
LCM(80193,80203) = ( 80193 × 80203) / 1
LCM(80193,80203) = 6431719179 / 1
LCM(80193,80203) = 6431719179

Least Common Multiple (LCM) of 80193 and 80203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80193 and 80203. First we will calculate the prime factors of 80193 and 80203.

Prime Factorization of 80193

Prime Factorization of 80203

Now multiplying the highest exponent prime factors to calculate the LCM of 80193 and 80203.

LCM(80193,80203) = 3¹ × 26731¹ × 139¹ × 577¹
LCM(80193,80203) = 6431719179