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What is the Least Common Multiple of 26884 and 26902?

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 26884 and 26902 is 361616684.

LCM(26884,26902) = 361616684

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Least Common Multiple of 26884 and 26902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26884 and 26902, than apply into the LCM equation.

GCF(26884,26902) = 2
LCM(26884,26902) = ( 26884 × 26902) / 2
LCM(26884,26902) = 723233368 / 2
LCM(26884,26902) = 361616684

Least Common Multiple (LCM) of 26884 and 26902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26884 and 26902. First we will calculate the prime factors of 26884 and 26902.

Prime Factorization of 26884

Prime factors of 26884 are 2, 11, 13, 47. Prime factorization of 26884 in exponential form is:

26884 = 22 × 111 × 131 × 471

Prime Factorization of 26902

Prime factors of 26902 are 2, 13451. Prime factorization of 26902 in exponential form is:

26902 = 21 × 134511

Now multiplying the highest exponent prime factors to calculate the LCM of 26884 and 26902.

LCM(26884,26902) = 22 × 111 × 131 × 471 × 134511
LCM(26884,26902) = 361616684