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What is the Least Common Multiple of 27356 and 27367?

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 27356 and 27367 is 748651652.

LCM(27356,27367) = 748651652

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Least Common Multiple of 27356 and 27367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27356 and 27367, than apply into the LCM equation.

GCF(27356,27367) = 1
LCM(27356,27367) = ( 27356 × 27367) / 1
LCM(27356,27367) = 748651652 / 1
LCM(27356,27367) = 748651652

Least Common Multiple (LCM) of 27356 and 27367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27356 and 27367. First we will calculate the prime factors of 27356 and 27367.

Prime Factorization of 27356

Prime factors of 27356 are 2, 7, 977. Prime factorization of 27356 in exponential form is:

27356 = 22 × 71 × 9771

Prime Factorization of 27367

Prime factors of 27367 are 27367. Prime factorization of 27367 in exponential form is:

27367 = 273671

Now multiplying the highest exponent prime factors to calculate the LCM of 27356 and 27367.

LCM(27356,27367) = 22 × 71 × 9771 × 273671
LCM(27356,27367) = 748651652