What is the Least Common Multiple of 81314 and 81328?

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 81314 and 81328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81314 and 81328, than apply into the LCM equation.

GCF(81314,81328) = 2
LCM(81314,81328) = ( 81314 × 81328) / 2
LCM(81314,81328) = 6613104992 / 2
LCM(81314,81328) = 3306552496

Least Common Multiple (LCM) of 81314 and 81328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81314 and 81328. First we will calculate the prime factors of 81314 and 81328.

Prime Factorization of 81314

Prime Factorization of 81328

Now multiplying the highest exponent prime factors to calculate the LCM of 81314 and 81328.

LCM(81314,81328) = 2⁴ × 109¹ × 373¹ × 13¹ × 17¹ × 23¹
LCM(81314,81328) = 3306552496