What is the Least Common Multiple of 81333 and 81337?

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 81333 and 81337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81333 and 81337, than apply into the LCM equation.

GCF(81333,81337) = 1
LCM(81333,81337) = ( 81333 × 81337) / 1
LCM(81333,81337) = 6615382221 / 1
LCM(81333,81337) = 6615382221

Least Common Multiple (LCM) of 81333 and 81337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81333 and 81337. First we will calculate the prime factors of 81333 and 81337.

Prime Factorization of 81333

Prime Factorization of 81337

Now multiplying the highest exponent prime factors to calculate the LCM of 81333 and 81337.

LCM(81333,81337) = 3² × 7¹ × 1291¹ × 163¹ × 499¹
LCM(81333,81337) = 6615382221