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What is the Least Common Multiple of 27827 and 27847?

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 27827 and 27847 is 774898469.

LCM(27827,27847) = 774898469

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Least Common Multiple of 27827 and 27847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27827 and 27847, than apply into the LCM equation.

GCF(27827,27847) = 1
LCM(27827,27847) = ( 27827 × 27847) / 1
LCM(27827,27847) = 774898469 / 1
LCM(27827,27847) = 774898469

Least Common Multiple (LCM) of 27827 and 27847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27827 and 27847. First we will calculate the prime factors of 27827 and 27847.

Prime Factorization of 27827

Prime factors of 27827 are 27827. Prime factorization of 27827 in exponential form is:

27827 = 278271

Prime Factorization of 27847

Prime factors of 27847 are 27847. Prime factorization of 27847 in exponential form is:

27847 = 278471

Now multiplying the highest exponent prime factors to calculate the LCM of 27827 and 27847.

LCM(27827,27847) = 278271 × 278471
LCM(27827,27847) = 774898469