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What is the Least Common Multiple of 26996 and 27006?

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 26996 and 27006 is 364526988.

LCM(26996,27006) = 364526988

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Least Common Multiple of 26996 and 27006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26996 and 27006, than apply into the LCM equation.

GCF(26996,27006) = 2
LCM(26996,27006) = ( 26996 × 27006) / 2
LCM(26996,27006) = 729053976 / 2
LCM(26996,27006) = 364526988

Least Common Multiple (LCM) of 26996 and 27006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26996 and 27006. First we will calculate the prime factors of 26996 and 27006.

Prime Factorization of 26996

Prime factors of 26996 are 2, 17, 397. Prime factorization of 26996 in exponential form is:

26996 = 22 × 171 × 3971

Prime Factorization of 27006

Prime factors of 27006 are 2, 3, 7, 643. Prime factorization of 27006 in exponential form is:

27006 = 21 × 31 × 71 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 26996 and 27006.

LCM(26996,27006) = 22 × 171 × 3971 × 31 × 71 × 6431
LCM(26996,27006) = 364526988