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What is the Least Common Multiple of 26892 and 26899?

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 26899 is 723367908.

LCM(26892,26899) = 723367908

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Least Common Multiple of 26892 and 26899 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 26899, than apply into the LCM equation.

GCF(26892,26899) = 1
LCM(26892,26899) = ( 26892 × 26899) / 1
LCM(26892,26899) = 723367908 / 1
LCM(26892,26899) = 723367908

Least Common Multiple (LCM) of 26892 and 26899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26899. First we will calculate the prime factors of 26892 and 26899.

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 26899

Prime factors of 26899 are 37, 727. Prime factorization of 26899 in exponential form is:

26899 = 371 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26899.

LCM(26892,26899) = 22 × 34 × 831 × 371 × 7271
LCM(26892,26899) = 723367908