What is the Least Common Multiple of 81526 and 81539?

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 81526 and 81539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81526 and 81539, than apply into the LCM equation.

GCF(81526,81539) = 1
LCM(81526,81539) = ( 81526 × 81539) / 1
LCM(81526,81539) = 6647548514 / 1
LCM(81526,81539) = 6647548514

Least Common Multiple (LCM) of 81526 and 81539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81526 and 81539. First we will calculate the prime factors of 81526 and 81539.

Prime Factorization of 81526

Prime Factorization of 81539

Now multiplying the highest exponent prime factors to calculate the LCM of 81526 and 81539.

LCM(81526,81539) = 2¹ × 40763¹ × 67¹ × 1217¹
LCM(81526,81539) = 6647548514