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What is the Least Common Multiple of 1367 and 1378?

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 1367 and 1378 is 1883726.

LCM(1367,1378) = 1883726

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Least Common Multiple of 1367 and 1378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1367 and 1378, than apply into the LCM equation.

GCF(1367,1378) = 1
LCM(1367,1378) = ( 1367 × 1378) / 1
LCM(1367,1378) = 1883726 / 1
LCM(1367,1378) = 1883726

Least Common Multiple (LCM) of 1367 and 1378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1367 and 1378. First we will calculate the prime factors of 1367 and 1378.

Prime Factorization of 1367

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Prime Factorization of 1378

Prime factors of 1378 are 2, 13, 53. Prime factorization of 1378 in exponential form is:

1378 = 21 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1367 and 1378.

LCM(1367,1378) = 13671 × 21 × 131 × 531
LCM(1367,1378) = 1883726