What is the Least Common Multiple of 82194 and 82203?

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 82194 and 82203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82194 and 82203, than apply into the LCM equation.

GCF(82194,82203) = 3
LCM(82194,82203) = ( 82194 × 82203) / 3
LCM(82194,82203) = 6756593382 / 3
LCM(82194,82203) = 2252197794

Least Common Multiple (LCM) of 82194 and 82203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82194 and 82203. First we will calculate the prime factors of 82194 and 82203.

Prime Factorization of 82194

Prime Factorization of 82203

Now multiplying the highest exponent prime factors to calculate the LCM of 82194 and 82203.

LCM(82194,82203) = 2¹ × 3¹ × 7¹ × 19¹ × 103¹ × 11¹ × 47¹ × 53¹
LCM(82194,82203) = 2252197794