What is the Least Common Multiple of 81745 and 81754?

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 81745 and 81754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81745 and 81754, than apply into the LCM equation.

GCF(81745,81754) = 1
LCM(81745,81754) = ( 81745 × 81754) / 1
LCM(81745,81754) = 6682980730 / 1
LCM(81745,81754) = 6682980730

Least Common Multiple (LCM) of 81745 and 81754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81745 and 81754. First we will calculate the prime factors of 81745 and 81754.

Prime Factorization of 81745

Prime Factorization of 81754

Now multiplying the highest exponent prime factors to calculate the LCM of 81745 and 81754.

LCM(81745,81754) = 5¹ × 16349¹ × 2¹ × 41¹ × 997¹
LCM(81745,81754) = 6682980730