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What is the Least Common Multiple of 26663 and 26671?

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 26663 and 26671 is 711128873.

LCM(26663,26671) = 711128873

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Least Common Multiple of 26663 and 26671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26663 and 26671, than apply into the LCM equation.

GCF(26663,26671) = 1
LCM(26663,26671) = ( 26663 × 26671) / 1
LCM(26663,26671) = 711128873 / 1
LCM(26663,26671) = 711128873

Least Common Multiple (LCM) of 26663 and 26671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26663 and 26671. First we will calculate the prime factors of 26663 and 26671.

Prime Factorization of 26663

Prime factors of 26663 are 7, 13, 293. Prime factorization of 26663 in exponential form is:

26663 = 71 × 131 × 2931

Prime Factorization of 26671

Prime factors of 26671 are 149, 179. Prime factorization of 26671 in exponential form is:

26671 = 1491 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 26663 and 26671.

LCM(26663,26671) = 71 × 131 × 2931 × 1491 × 1791
LCM(26663,26671) = 711128873