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What is the Least Common Multiple of 26649 and 26659?

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 26649 and 26659 is 710435691.

LCM(26649,26659) = 710435691

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Least Common Multiple of 26649 and 26659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26649 and 26659, than apply into the LCM equation.

GCF(26649,26659) = 1
LCM(26649,26659) = ( 26649 × 26659) / 1
LCM(26649,26659) = 710435691 / 1
LCM(26649,26659) = 710435691

Least Common Multiple (LCM) of 26649 and 26659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26649 and 26659. First we will calculate the prime factors of 26649 and 26659.

Prime Factorization of 26649

Prime factors of 26649 are 3, 7, 47. Prime factorization of 26649 in exponential form is:

26649 = 34 × 71 × 471

Prime Factorization of 26659

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

26659 = 531 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 26649 and 26659.

LCM(26649,26659) = 34 × 71 × 471 × 531 × 5031
LCM(26649,26659) = 710435691