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What is the Least Common Multiple of 1362 and 1374?

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 1374 is 311898.

LCM(1362,1374) = 311898

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Least Common Multiple of 1362 and 1374 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 1374, than apply into the LCM equation.

GCF(1362,1374) = 6
LCM(1362,1374) = ( 1362 × 1374) / 6
LCM(1362,1374) = 1871388 / 6
LCM(1362,1374) = 311898

Least Common Multiple (LCM) of 1362 and 1374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1362 and 1374. First we will calculate the prime factors of 1362 and 1374.

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 1374

Prime factors of 1374 are 2, 3, 229. Prime factorization of 1374 in exponential form is:

1374 = 21 × 31 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1362 and 1374.

LCM(1362,1374) = 21 × 31 × 2271 × 2291
LCM(1362,1374) = 311898