What is the Least Common Multiple of 81481 and 81497?

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 81481 and 81497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81481 and 81497, than apply into the LCM equation.

GCF(81481,81497) = 1
LCM(81481,81497) = ( 81481 × 81497) / 1
LCM(81481,81497) = 6640457057 / 1
LCM(81481,81497) = 6640457057

Least Common Multiple (LCM) of 81481 and 81497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81481 and 81497. First we will calculate the prime factors of 81481 and 81497.

Prime Factorization of 81481

Prime Factorization of 81497

Now multiplying the highest exponent prime factors to calculate the LCM of 81481 and 81497.

LCM(81481,81497) = 17¹ × 4793¹ × 13¹ × 6269¹
LCM(81481,81497) = 6640457057