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What is the Least Common Multiple of 1368 and 1388?

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 1388 is 474696.

LCM(1368,1388) = 474696

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Least Common Multiple of 1368 and 1388 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 1388, than apply into the LCM equation.

GCF(1368,1388) = 4
LCM(1368,1388) = ( 1368 × 1388) / 4
LCM(1368,1388) = 1898784 / 4
LCM(1368,1388) = 474696

Least Common Multiple (LCM) of 1368 and 1388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1368 and 1388. First we will calculate the prime factors of 1368 and 1388.

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 1388

Prime factors of 1388 are 2, 347. Prime factorization of 1388 in exponential form is:

1388 = 22 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1368 and 1388.

LCM(1368,1388) = 23 × 32 × 191 × 3471
LCM(1368,1388) = 474696