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What is the Least Common Multiple of 12658 and 12668?

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 12658 and 12668 is 80175772.

LCM(12658,12668) = 80175772

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Least Common Multiple of 12658 and 12668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12658 and 12668, than apply into the LCM equation.

GCF(12658,12668) = 2
LCM(12658,12668) = ( 12658 × 12668) / 2
LCM(12658,12668) = 160351544 / 2
LCM(12658,12668) = 80175772

Least Common Multiple (LCM) of 12658 and 12668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12658 and 12668. First we will calculate the prime factors of 12658 and 12668.

Prime Factorization of 12658

Prime factors of 12658 are 2, 6329. Prime factorization of 12658 in exponential form is:

12658 = 21 × 63291

Prime Factorization of 12668

Prime factors of 12668 are 2, 3167. Prime factorization of 12668 in exponential form is:

12668 = 22 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 12658 and 12668.

LCM(12658,12668) = 22 × 63291 × 31671
LCM(12658,12668) = 80175772