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What is the Least Common Multiple of 26787 and 26800?

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 26787 and 26800 is 717891600.

LCM(26787,26800) = 717891600

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Least Common Multiple of 26787 and 26800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26787 and 26800, than apply into the LCM equation.

GCF(26787,26800) = 1
LCM(26787,26800) = ( 26787 × 26800) / 1
LCM(26787,26800) = 717891600 / 1
LCM(26787,26800) = 717891600

Least Common Multiple (LCM) of 26787 and 26800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26787 and 26800. First we will calculate the prime factors of 26787 and 26800.

Prime Factorization of 26787

Prime factors of 26787 are 3, 8929. Prime factorization of 26787 in exponential form is:

26787 = 31 × 89291

Prime Factorization of 26800

Prime factors of 26800 are 2, 5, 67. Prime factorization of 26800 in exponential form is:

26800 = 24 × 52 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 26787 and 26800.

LCM(26787,26800) = 31 × 89291 × 24 × 52 × 671
LCM(26787,26800) = 717891600