What is the Least Common Multiple of 81475 and 81494?

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 81475 and 81494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81475 and 81494, than apply into the LCM equation.

GCF(81475,81494) = 1
LCM(81475,81494) = ( 81475 × 81494) / 1
LCM(81475,81494) = 6639723650 / 1
LCM(81475,81494) = 6639723650

Least Common Multiple (LCM) of 81475 and 81494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81475 and 81494. First we will calculate the prime factors of 81475 and 81494.

Prime Factorization of 81475

Prime Factorization of 81494

Now multiplying the highest exponent prime factors to calculate the LCM of 81475 and 81494.

LCM(81475,81494) = 5² × 3259¹ × 2¹ × 7¹ × 5821¹
LCM(81475,81494) = 6639723650