What is the Least Common Multiple of 1305 and 1321?

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 1305 and 1321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1305 and 1321, than apply into the LCM equation.

GCF(1305,1321) = 1
LCM(1305,1321) = ( 1305 × 1321) / 1
LCM(1305,1321) = 1723905 / 1
LCM(1305,1321) = 1723905

Least Common Multiple (LCM) of 1305 and 1321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1305 and 1321. First we will calculate the prime factors of 1305 and 1321.

Prime Factorization of 1305

Prime Factorization of 1321

Now multiplying the highest exponent prime factors to calculate the LCM of 1305 and 1321.

LCM(1305,1321) = 3² × 5¹ × 29¹ × 1321¹
LCM(1305,1321) = 1723905