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What is the Least Common Multiple of 1318 and 1327?

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 1318 and 1327 is 1748986.

LCM(1318,1327) = 1748986

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Least Common Multiple of 1318 and 1327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1318 and 1327, than apply into the LCM equation.

GCF(1318,1327) = 1
LCM(1318,1327) = ( 1318 × 1327) / 1
LCM(1318,1327) = 1748986 / 1
LCM(1318,1327) = 1748986

Least Common Multiple (LCM) of 1318 and 1327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1318 and 1327. First we will calculate the prime factors of 1318 and 1327.

Prime Factorization of 1318

Prime factors of 1318 are 2, 659. Prime factorization of 1318 in exponential form is:

1318 = 21 × 6591

Prime Factorization of 1327

Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:

1327 = 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 1318 and 1327.

LCM(1318,1327) = 21 × 6591 × 13271
LCM(1318,1327) = 1748986