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What is the Least Common Multiple of 27821 and 27835?

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 27821 and 27835 is 774397535.

LCM(27821,27835) = 774397535

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Least Common Multiple of 27821 and 27835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27821 and 27835, than apply into the LCM equation.

GCF(27821,27835) = 1
LCM(27821,27835) = ( 27821 × 27835) / 1
LCM(27821,27835) = 774397535 / 1
LCM(27821,27835) = 774397535

Least Common Multiple (LCM) of 27821 and 27835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27821 and 27835. First we will calculate the prime factors of 27821 and 27835.

Prime Factorization of 27821

Prime factors of 27821 are 43, 647. Prime factorization of 27821 in exponential form is:

27821 = 431 × 6471

Prime Factorization of 27835

Prime factors of 27835 are 5, 19, 293. Prime factorization of 27835 in exponential form is:

27835 = 51 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 27821 and 27835.

LCM(27821,27835) = 431 × 6471 × 51 × 191 × 2931
LCM(27821,27835) = 774397535