What is the Least Common Multiple of 81268 and 81287?

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 81268 and 81287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81268 and 81287, than apply into the LCM equation.

GCF(81268,81287) = 1
LCM(81268,81287) = ( 81268 × 81287) / 1
LCM(81268,81287) = 6606031916 / 1
LCM(81268,81287) = 6606031916

Least Common Multiple (LCM) of 81268 and 81287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81268 and 81287. First we will calculate the prime factors of 81268 and 81287.

Prime Factorization of 81268

Prime Factorization of 81287

Now multiplying the highest exponent prime factors to calculate the LCM of 81268 and 81287.

LCM(81268,81287) = 2² × 11¹ × 1847¹ × 29¹ × 2803¹
LCM(81268,81287) = 6606031916