What is the Least Common Multiple of 81382 and 81400?

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 81382 and 81400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81382 and 81400, than apply into the LCM equation.

GCF(81382,81400) = 2
LCM(81382,81400) = ( 81382 × 81400) / 2
LCM(81382,81400) = 6624494800 / 2
LCM(81382,81400) = 3312247400

Least Common Multiple (LCM) of 81382 and 81400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81382 and 81400. First we will calculate the prime factors of 81382 and 81400.

Prime Factorization of 81382

Prime Factorization of 81400

Now multiplying the highest exponent prime factors to calculate the LCM of 81382 and 81400.

LCM(81382,81400) = 2³ × 7¹ × 5813¹ × 5² × 11¹ × 37¹
LCM(81382,81400) = 3312247400