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What is the Least Common Multiple of 1368 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 1368 and 1378 is 942552.

LCM(1368,1378) = 942552

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Least Common Multiple of 1368 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 1368 and 1378, than apply into the LCM equation.

GCF(1368,1378) = 2
LCM(1368,1378) = ( 1368 × 1378) / 2
LCM(1368,1378) = 1885104 / 2
LCM(1368,1378) = 942552

Least Common Multiple (LCM) of 1368 and 1378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1368 and 1378. First we will calculate the prime factors of 1368 and 1378.

Prime Factorization of 1368

Prime factors of 1368 are 2, 3, 19. Prime factorization of 1368 in exponential form is:

1368 = 23 × 32 × 191

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 1368 and 1378.

LCM(1368,1378) = 23 × 32 × 191 × 131 × 531
LCM(1368,1378) = 942552