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What is the Least Common Multiple of 27913 and 27927?

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 27913 and 27927 is 779526351.

LCM(27913,27927) = 779526351

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Least Common Multiple of 27913 and 27927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27913 and 27927, than apply into the LCM equation.

GCF(27913,27927) = 1
LCM(27913,27927) = ( 27913 × 27927) / 1
LCM(27913,27927) = 779526351 / 1
LCM(27913,27927) = 779526351

Least Common Multiple (LCM) of 27913 and 27927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27913 and 27927. First we will calculate the prime factors of 27913 and 27927.

Prime Factorization of 27913

Prime factors of 27913 are 103, 271. Prime factorization of 27913 in exponential form is:

27913 = 1031 × 2711

Prime Factorization of 27927

Prime factors of 27927 are 3, 29, 107. Prime factorization of 27927 in exponential form is:

27927 = 32 × 291 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 27913 and 27927.

LCM(27913,27927) = 1031 × 2711 × 32 × 291 × 1071
LCM(27913,27927) = 779526351