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What is the Least Common Multiple of 26665 and 26684?

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 26665 and 26684 is 711528860.

LCM(26665,26684) = 711528860

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Least Common Multiple of 26665 and 26684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26665 and 26684, than apply into the LCM equation.

GCF(26665,26684) = 1
LCM(26665,26684) = ( 26665 × 26684) / 1
LCM(26665,26684) = 711528860 / 1
LCM(26665,26684) = 711528860

Least Common Multiple (LCM) of 26665 and 26684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26665 and 26684. First we will calculate the prime factors of 26665 and 26684.

Prime Factorization of 26665

Prime factors of 26665 are 5, 5333. Prime factorization of 26665 in exponential form is:

26665 = 51 × 53331

Prime Factorization of 26684

Prime factors of 26684 are 2, 7, 953. Prime factorization of 26684 in exponential form is:

26684 = 22 × 71 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 26665 and 26684.

LCM(26665,26684) = 51 × 53331 × 22 × 71 × 9531
LCM(26665,26684) = 711528860