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What is the Least Common Multiple of 1362 and 1368?

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 1362 and 1368 is 310536.

LCM(1362,1368) = 310536

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Least Common Multiple of 1362 and 1368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1362 and 1368, than apply into the LCM equation.

GCF(1362,1368) = 6
LCM(1362,1368) = ( 1362 × 1368) / 6
LCM(1362,1368) = 1863216 / 6
LCM(1362,1368) = 310536

Least Common Multiple (LCM) of 1362 and 1368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1362 and 1368. First we will calculate the prime factors of 1362 and 1368.

Prime Factorization of 1362

Prime factors of 1362 are 2, 3, 227. Prime factorization of 1362 in exponential form is:

1362 = 21 × 31 × 2271

Prime Factorization of 1368

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

1368 = 23 × 32 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1362 and 1368.

LCM(1362,1368) = 23 × 32 × 2271 × 191
LCM(1362,1368) = 310536