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What is the Least Common Multiple of 26717 and 26733?

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 26717 and 26733 is 714225561.

LCM(26717,26733) = 714225561

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Least Common Multiple of 26717 and 26733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26717 and 26733, than apply into the LCM equation.

GCF(26717,26733) = 1
LCM(26717,26733) = ( 26717 × 26733) / 1
LCM(26717,26733) = 714225561 / 1
LCM(26717,26733) = 714225561

Least Common Multiple (LCM) of 26717 and 26733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26717 and 26733. First we will calculate the prime factors of 26717 and 26733.

Prime Factorization of 26717

Prime factors of 26717 are 26717. Prime factorization of 26717 in exponential form is:

26717 = 267171

Prime Factorization of 26733

Prime factors of 26733 are 3, 7, 19, 67. Prime factorization of 26733 in exponential form is:

26733 = 31 × 71 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 26717 and 26733.

LCM(26717,26733) = 267171 × 31 × 71 × 191 × 671
LCM(26717,26733) = 714225561