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What is the Least Common Multiple of 26904 and 26912?

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 26904 and 26912 is 90505056.

LCM(26904,26912) = 90505056

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Least Common Multiple of 26904 and 26912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26904 and 26912, than apply into the LCM equation.

GCF(26904,26912) = 8
LCM(26904,26912) = ( 26904 × 26912) / 8
LCM(26904,26912) = 724040448 / 8
LCM(26904,26912) = 90505056

Least Common Multiple (LCM) of 26904 and 26912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26904 and 26912. First we will calculate the prime factors of 26904 and 26912.

Prime Factorization of 26904

Prime factors of 26904 are 2, 3, 19, 59. Prime factorization of 26904 in exponential form is:

26904 = 23 × 31 × 191 × 591

Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 25 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 26904 and 26912.

LCM(26904,26912) = 25 × 31 × 191 × 591 × 292
LCM(26904,26912) = 90505056