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What is the Least Common Multiple of 12674 and 12693?

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 12674 and 12693 is 160871082.

LCM(12674,12693) = 160871082

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Least Common Multiple of 12674 and 12693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12674 and 12693, than apply into the LCM equation.

GCF(12674,12693) = 1
LCM(12674,12693) = ( 12674 × 12693) / 1
LCM(12674,12693) = 160871082 / 1
LCM(12674,12693) = 160871082

Least Common Multiple (LCM) of 12674 and 12693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12674 and 12693. First we will calculate the prime factors of 12674 and 12693.

Prime Factorization of 12674

Prime factors of 12674 are 2, 6337. Prime factorization of 12674 in exponential form is:

12674 = 21 × 63371

Prime Factorization of 12693

Prime factors of 12693 are 3, 4231. Prime factorization of 12693 in exponential form is:

12693 = 31 × 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 12674 and 12693.

LCM(12674,12693) = 21 × 63371 × 31 × 42311
LCM(12674,12693) = 160871082