What is the Least Common Multiple of 81635 and 81649?

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 81649 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 81649, than apply into the LCM equation.

GCF(81635,81649) = 1
LCM(81635,81649) = ( 81635 × 81649) / 1
LCM(81635,81649) = 6665416115 / 1
LCM(81635,81649) = 6665416115

Least Common Multiple (LCM) of 81635 and 81649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81635 and 81649. First we will calculate the prime factors of 81635 and 81649.

Prime Factorization of 81635

Prime Factorization of 81649

Now multiplying the highest exponent prime factors to calculate the LCM of 81635 and 81649.

LCM(81635,81649) = 5¹ × 29¹ × 563¹ × 81649¹
LCM(81635,81649) = 6665416115