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What is the Least Common Multiple of 27808 and 27827?

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 27808 and 27827 is 773813216.

LCM(27808,27827) = 773813216

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Least Common Multiple of 27808 and 27827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27808 and 27827, than apply into the LCM equation.

GCF(27808,27827) = 1
LCM(27808,27827) = ( 27808 × 27827) / 1
LCM(27808,27827) = 773813216 / 1
LCM(27808,27827) = 773813216

Least Common Multiple (LCM) of 27808 and 27827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27808 and 27827. First we will calculate the prime factors of 27808 and 27827.

Prime Factorization of 27808

Prime factors of 27808 are 2, 11, 79. Prime factorization of 27808 in exponential form is:

27808 = 25 × 111 × 791

Prime Factorization of 27827

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

27827 = 278271

Now multiplying the highest exponent prime factors to calculate the LCM of 27808 and 27827.

LCM(27808,27827) = 25 × 111 × 791 × 278271
LCM(27808,27827) = 773813216