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What is the Least Common Multiple of 27909 and 27926?

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 27909 and 27926 is 779386734.

LCM(27909,27926) = 779386734

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Least Common Multiple of 27909 and 27926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27909 and 27926, than apply into the LCM equation.

GCF(27909,27926) = 1
LCM(27909,27926) = ( 27909 × 27926) / 1
LCM(27909,27926) = 779386734 / 1
LCM(27909,27926) = 779386734

Least Common Multiple (LCM) of 27909 and 27926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27909 and 27926. First we will calculate the prime factors of 27909 and 27926.

Prime Factorization of 27909

Prime factors of 27909 are 3, 7, 443. Prime factorization of 27909 in exponential form is:

27909 = 32 × 71 × 4431

Prime Factorization of 27926

Prime factors of 27926 are 2, 13963. Prime factorization of 27926 in exponential form is:

27926 = 21 × 139631

Now multiplying the highest exponent prime factors to calculate the LCM of 27909 and 27926.

LCM(27909,27926) = 32 × 71 × 4431 × 21 × 139631
LCM(27909,27926) = 779386734