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What is the Least Common Multiple of 26638 and 26654?

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 26638 and 26654 is 355004626.

LCM(26638,26654) = 355004626

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Least Common Multiple of 26638 and 26654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26638 and 26654, than apply into the LCM equation.

GCF(26638,26654) = 2
LCM(26638,26654) = ( 26638 × 26654) / 2
LCM(26638,26654) = 710009252 / 2
LCM(26638,26654) = 355004626

Least Common Multiple (LCM) of 26638 and 26654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26638 and 26654. First we will calculate the prime factors of 26638 and 26654.

Prime Factorization of 26638

Prime factors of 26638 are 2, 19, 701. Prime factorization of 26638 in exponential form is:

26638 = 21 × 191 × 7011

Prime Factorization of 26654

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

26654 = 21 × 133271

Now multiplying the highest exponent prime factors to calculate the LCM of 26638 and 26654.

LCM(26638,26654) = 21 × 191 × 7011 × 133271
LCM(26638,26654) = 355004626