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What is the Least Common Multiple of 1307 and 1322?

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 (LCM) of 1307 and 1322 is 1727854.

LCM(1307,1322) = 1727854

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Least Common Multiple of 1307 and 1322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1307 and 1322, than apply into the LCM equation.

GCF(1307,1322) = 1
LCM(1307,1322) = ( 1307 × 1322) / 1
LCM(1307,1322) = 1727854 / 1
LCM(1307,1322) = 1727854

Least Common Multiple (LCM) of 1307 and 1322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1307 and 1322. First we will calculate the prime factors of 1307 and 1322.

Prime Factorization of 1307

Prime factors of 1307 are 1307. Prime factorization of 1307 in exponential form is:

1307 = 13071

Prime Factorization of 1322

Prime factors of 1322 are 2, 661. Prime factorization of 1322 in exponential form is:

1322 = 21 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 1307 and 1322.

LCM(1307,1322) = 13071 × 21 × 6611
LCM(1307,1322) = 1727854