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What is the Least Common Multiple of 27794 and 27800?

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 27794 and 27800 is 386336600.

LCM(27794,27800) = 386336600

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Least Common Multiple of 27794 and 27800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27794 and 27800, than apply into the LCM equation.

GCF(27794,27800) = 2
LCM(27794,27800) = ( 27794 × 27800) / 2
LCM(27794,27800) = 772673200 / 2
LCM(27794,27800) = 386336600

Least Common Multiple (LCM) of 27794 and 27800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27794 and 27800. First we will calculate the prime factors of 27794 and 27800.

Prime Factorization of 27794

Prime factors of 27794 are 2, 13, 1069. Prime factorization of 27794 in exponential form is:

27794 = 21 × 131 × 10691

Prime Factorization of 27800

Prime factors of 27800 are 2, 5, 139. Prime factorization of 27800 in exponential form is:

27800 = 23 × 52 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 27794 and 27800.

LCM(27794,27800) = 23 × 131 × 10691 × 52 × 1391
LCM(27794,27800) = 386336600