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What is the Least Common Multiple of 1393 and 1413?

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 1393 and 1413 is 1968309.

LCM(1393,1413) = 1968309

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Least Common Multiple of 1393 and 1413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1393 and 1413, than apply into the LCM equation.

GCF(1393,1413) = 1
LCM(1393,1413) = ( 1393 × 1413) / 1
LCM(1393,1413) = 1968309 / 1
LCM(1393,1413) = 1968309

Least Common Multiple (LCM) of 1393 and 1413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1393 and 1413. First we will calculate the prime factors of 1393 and 1413.

Prime Factorization of 1393

Prime factors of 1393 are 7, 199. Prime factorization of 1393 in exponential form is:

1393 = 71 × 1991

Prime Factorization of 1413

Prime factors of 1413 are 3, 157. Prime factorization of 1413 in exponential form is:

1413 = 32 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1393 and 1413.

LCM(1393,1413) = 71 × 1991 × 32 × 1571
LCM(1393,1413) = 1968309