What is the Least Common Multiple of 81514 and 81526?

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 81514 and 81526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81514 and 81526, than apply into the LCM equation.

GCF(81514,81526) = 2
LCM(81514,81526) = ( 81514 × 81526) / 2
LCM(81514,81526) = 6645510364 / 2
LCM(81514,81526) = 3322755182

Least Common Multiple (LCM) of 81514 and 81526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81514 and 81526. First we will calculate the prime factors of 81514 and 81526.

Prime Factorization of 81514

Prime Factorization of 81526

Now multiplying the highest exponent prime factors to calculate the LCM of 81514 and 81526.

LCM(81514,81526) = 2¹ × 53¹ × 769¹ × 40763¹
LCM(81514,81526) = 3322755182