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What is the Least Common Multiple of 26654 and 26669?

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 26654 and 26669 is 710835526.

LCM(26654,26669) = 710835526

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Least Common Multiple of 26654 and 26669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26654 and 26669, than apply into the LCM equation.

GCF(26654,26669) = 1
LCM(26654,26669) = ( 26654 × 26669) / 1
LCM(26654,26669) = 710835526 / 1
LCM(26654,26669) = 710835526

Least Common Multiple (LCM) of 26654 and 26669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26654 and 26669. First we will calculate the prime factors of 26654 and 26669.

Prime Factorization of 26654

Prime factors of 26654 are 2, 13327. Prime factorization of 26654 in exponential form is:

26654 = 21 × 133271

Prime Factorization of 26669

Prime factors of 26669 are 26669. Prime factorization of 26669 in exponential form is:

26669 = 266691

Now multiplying the highest exponent prime factors to calculate the LCM of 26654 and 26669.

LCM(26654,26669) = 21 × 133271 × 266691
LCM(26654,26669) = 710835526