What is the Least Common Multiple of 81396 and 81413?

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 81396 and 81413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81396 and 81413, than apply into the LCM equation.

GCF(81396,81413) = 17
LCM(81396,81413) = ( 81396 × 81413) / 17
LCM(81396,81413) = 6626692548 / 17
LCM(81396,81413) = 389805444

Least Common Multiple (LCM) of 81396 and 81413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81396 and 81413. First we will calculate the prime factors of 81396 and 81413.

Prime Factorization of 81396

Prime Factorization of 81413

Now multiplying the highest exponent prime factors to calculate the LCM of 81396 and 81413.

LCM(81396,81413) = 2² × 3² × 7¹ × 17¹ × 19¹ × 4789¹
LCM(81396,81413) = 389805444