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What is the Least Common Multiple of 27818 and 27833?

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 27818 and 27833 is 774258394.

LCM(27818,27833) = 774258394

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Least Common Multiple of 27818 and 27833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27818 and 27833, than apply into the LCM equation.

GCF(27818,27833) = 1
LCM(27818,27833) = ( 27818 × 27833) / 1
LCM(27818,27833) = 774258394 / 1
LCM(27818,27833) = 774258394

Least Common Multiple (LCM) of 27818 and 27833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27818 and 27833. First we will calculate the prime factors of 27818 and 27833.

Prime Factorization of 27818

Prime factors of 27818 are 2, 7, 1987. Prime factorization of 27818 in exponential form is:

27818 = 21 × 71 × 19871

Prime Factorization of 27833

Prime factors of 27833 are 13, 2141. Prime factorization of 27833 in exponential form is:

27833 = 131 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 27818 and 27833.

LCM(27818,27833) = 21 × 71 × 19871 × 131 × 21411
LCM(27818,27833) = 774258394