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What is the Least Common Multiple of 1668 and 1674?

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 1668 and 1674 is 465372.

LCM(1668,1674) = 465372

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Least Common Multiple of 1668 and 1674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1668 and 1674, than apply into the LCM equation.

GCF(1668,1674) = 6
LCM(1668,1674) = ( 1668 × 1674) / 6
LCM(1668,1674) = 2792232 / 6
LCM(1668,1674) = 465372

Least Common Multiple (LCM) of 1668 and 1674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1668 and 1674. First we will calculate the prime factors of 1668 and 1674.

Prime Factorization of 1668

Prime factors of 1668 are 2, 3, 139. Prime factorization of 1668 in exponential form is:

1668 = 22 × 31 × 1391

Prime Factorization of 1674

Prime factors of 1674 are 2, 3, 31. Prime factorization of 1674 in exponential form is:

1674 = 21 × 33 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1668 and 1674.

LCM(1668,1674) = 22 × 33 × 1391 × 311
LCM(1668,1674) = 465372