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What is the Least Common Multiple of 26783 and 26796?

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 26783 and 26796 is 717677268.

LCM(26783,26796) = 717677268

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Least Common Multiple of 26783 and 26796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26783 and 26796, than apply into the LCM equation.

GCF(26783,26796) = 1
LCM(26783,26796) = ( 26783 × 26796) / 1
LCM(26783,26796) = 717677268 / 1
LCM(26783,26796) = 717677268

Least Common Multiple (LCM) of 26783 and 26796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26783 and 26796. First we will calculate the prime factors of 26783 and 26796.

Prime Factorization of 26783

Prime factors of 26783 are 26783. Prime factorization of 26783 in exponential form is:

26783 = 267831

Prime Factorization of 26796

Prime factors of 26796 are 2, 3, 7, 11, 29. Prime factorization of 26796 in exponential form is:

26796 = 22 × 31 × 71 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 26783 and 26796.

LCM(26783,26796) = 267831 × 22 × 31 × 71 × 111 × 291
LCM(26783,26796) = 717677268