What is the Least Common Multiple of 81344 and 81354?

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 81344 and 81354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81344 and 81354, than apply into the LCM equation.

GCF(81344,81354) = 2
LCM(81344,81354) = ( 81344 × 81354) / 2
LCM(81344,81354) = 6617659776 / 2
LCM(81344,81354) = 3308829888

Least Common Multiple (LCM) of 81344 and 81354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81344 and 81354. First we will calculate the prime factors of 81344 and 81354.

Prime Factorization of 81344

Prime Factorization of 81354

Now multiplying the highest exponent prime factors to calculate the LCM of 81344 and 81354.

LCM(81344,81354) = 2⁶ × 31¹ × 41¹ × 3¹ × 7¹ × 13¹ × 149¹
LCM(81344,81354) = 3308829888