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What is the Least Common Multiple of 26892 and 26904?

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 26892 and 26904 is 60291864.

LCM(26892,26904) = 60291864

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Least Common Multiple of 26892 and 26904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26904, than apply into the LCM equation.

GCF(26892,26904) = 12
LCM(26892,26904) = ( 26892 × 26904) / 12
LCM(26892,26904) = 723502368 / 12
LCM(26892,26904) = 60291864

Least Common Multiple (LCM) of 26892 and 26904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26904. First we will calculate the prime factors of 26892 and 26904.

Prime Factorization of 26892

Prime factors of 26892 are 2, 3, 83. Prime factorization of 26892 in exponential form is:

26892 = 22 × 34 × 831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26904.

LCM(26892,26904) = 23 × 34 × 831 × 191 × 591
LCM(26892,26904) = 60291864