What is the Least Common Multiple of 81635 and 81646?

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 81635 and 81646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81635 and 81646, than apply into the LCM equation.

GCF(81635,81646) = 1
LCM(81635,81646) = ( 81635 × 81646) / 1
LCM(81635,81646) = 6665171210 / 1
LCM(81635,81646) = 6665171210

Least Common Multiple (LCM) of 81635 and 81646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81635 and 81646. First we will calculate the prime factors of 81635 and 81646.

Prime Factorization of 81635

Prime Factorization of 81646

Now multiplying the highest exponent prime factors to calculate the LCM of 81635 and 81646.

LCM(81635,81646) = 5¹ × 29¹ × 563¹ × 2¹ × 40823¹
LCM(81635,81646) = 6665171210