What is the Least Common Multiple of 81346 and 81360?

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 81346 and 81360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81346 and 81360, than apply into the LCM equation.

GCF(81346,81360) = 2
LCM(81346,81360) = ( 81346 × 81360) / 2
LCM(81346,81360) = 6618310560 / 2
LCM(81346,81360) = 3309155280

Least Common Multiple (LCM) of 81346 and 81360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81346 and 81360. First we will calculate the prime factors of 81346 and 81360.

Prime Factorization of 81346

Prime Factorization of 81360

Now multiplying the highest exponent prime factors to calculate the LCM of 81346 and 81360.

LCM(81346,81360) = 2⁴ × 89¹ × 457¹ × 3² × 5¹ × 113¹
LCM(81346,81360) = 3309155280