What is the Least Common Multiple of 82305 and 82313?

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 82305 and 82313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82305 and 82313, than apply into the LCM equation.

GCF(82305,82313) = 1
LCM(82305,82313) = ( 82305 × 82313) / 1
LCM(82305,82313) = 6774771465 / 1
LCM(82305,82313) = 6774771465

Least Common Multiple (LCM) of 82305 and 82313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82305 and 82313. First we will calculate the prime factors of 82305 and 82313.

Prime Factorization of 82305

Prime Factorization of 82313

Now multiplying the highest exponent prime factors to calculate the LCM of 82305 and 82313.

LCM(82305,82313) = 3² × 5¹ × 31¹ × 59¹ × 7¹ × 11¹ × 1069¹
LCM(82305,82313) = 6774771465