What is the Least Common Multiple of 81376 and 81396?

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 81376 and 81396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81376 and 81396, than apply into the LCM equation.

GCF(81376,81396) = 4
LCM(81376,81396) = ( 81376 × 81396) / 4
LCM(81376,81396) = 6623680896 / 4
LCM(81376,81396) = 1655920224

Least Common Multiple (LCM) of 81376 and 81396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81376 and 81396. First we will calculate the prime factors of 81376 and 81396.

Prime Factorization of 81376

Prime Factorization of 81396

Now multiplying the highest exponent prime factors to calculate the LCM of 81376 and 81396.

LCM(81376,81396) = 2⁵ × 2543¹ × 3² × 7¹ × 17¹ × 19¹
LCM(81376,81396) = 1655920224