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What is the Least Common Multiple of 27278 and 27287?

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 27278 and 27287 is 744334786.

LCM(27278,27287) = 744334786

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Least Common Multiple of 27278 and 27287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27278 and 27287, than apply into the LCM equation.

GCF(27278,27287) = 1
LCM(27278,27287) = ( 27278 × 27287) / 1
LCM(27278,27287) = 744334786 / 1
LCM(27278,27287) = 744334786

Least Common Multiple (LCM) of 27278 and 27287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27278 and 27287. First we will calculate the prime factors of 27278 and 27287.

Prime Factorization of 27278

Prime factors of 27278 are 2, 23, 593. Prime factorization of 27278 in exponential form is:

27278 = 21 × 231 × 5931

Prime Factorization of 27287

Prime factors of 27287 are 13, 2099. Prime factorization of 27287 in exponential form is:

27287 = 131 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 27278 and 27287.

LCM(27278,27287) = 21 × 231 × 5931 × 131 × 20991
LCM(27278,27287) = 744334786