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Least Common Multiple of 1368 and 1386

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 1386 is 105336.

LCM(1368,1386) = 105336

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Least Common Multiple of 1368 and 1386 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 1386, than apply into the LCM equation.

GCF(1368,1386) = 18
LCM(1368,1386) = ( 1368 × 1386) / 18
LCM(1368,1386) = 1896048 / 18
LCM(1368,1386) = 105336

Least Common Multiple (LCM) of 1368 and 1386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1368 and 1386. First we will calculate the prime factors of 1368 and 1386.

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 1386

Prime factors of 1386 are 2, 3, 7, 11. Prime factorization of 1386 in exponential form is:

1386 = 21 × 32 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1368 and 1386.

LCM(1368,1386) = 23 × 32 × 191 × 71 × 111
LCM(1368,1386) = 105336

Recent Comments
Guest 2020-04-27 09:08:53

Lcm of 18 17 and it's ansu is 1386 not 306

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