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What is the Least Common Multiple of 26659 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 26659 and 26671 is 711022189.

LCM(26659,26671) = 711022189

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Least Common Multiple of 26659 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 26659 and 26671, than apply into the LCM equation.

GCF(26659,26671) = 1
LCM(26659,26671) = ( 26659 × 26671) / 1
LCM(26659,26671) = 711022189 / 1
LCM(26659,26671) = 711022189

Least Common Multiple (LCM) of 26659 and 26671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26659 and 26671. First we will calculate the prime factors of 26659 and 26671.

Prime Factorization of 26659

Prime factors of 26659 are 53, 503. Prime factorization of 26659 in exponential form is:

26659 = 531 × 5031

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 26659 and 26671.

LCM(26659,26671) = 531 × 5031 × 1491 × 1791
LCM(26659,26671) = 711022189