What is the Least Common Multiple of 10305 and 10313?

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 10305 and 10313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10305 and 10313, than apply into the LCM equation.

GCF(10305,10313) = 1
LCM(10305,10313) = ( 10305 × 10313) / 1
LCM(10305,10313) = 106275465 / 1
LCM(10305,10313) = 106275465

Least Common Multiple (LCM) of 10305 and 10313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10305 and 10313. First we will calculate the prime factors of 10305 and 10313.

Prime Factorization of 10305

Prime Factorization of 10313

Now multiplying the highest exponent prime factors to calculate the LCM of 10305 and 10313.

LCM(10305,10313) = 3² × 5¹ × 229¹ × 10313¹
LCM(10305,10313) = 106275465