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What is the Least Common Multiple of 27657 and 27661?

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 27657 and 27661 is 765020277.

LCM(27657,27661) = 765020277

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Least Common Multiple of 27657 and 27661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27657 and 27661, than apply into the LCM equation.

GCF(27657,27661) = 1
LCM(27657,27661) = ( 27657 × 27661) / 1
LCM(27657,27661) = 765020277 / 1
LCM(27657,27661) = 765020277

Least Common Multiple (LCM) of 27657 and 27661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27657 and 27661. First we will calculate the prime factors of 27657 and 27661.

Prime Factorization of 27657

Prime factors of 27657 are 3, 7, 439. Prime factorization of 27657 in exponential form is:

27657 = 32 × 71 × 4391

Prime Factorization of 27661

Prime factors of 27661 are 139, 199. Prime factorization of 27661 in exponential form is:

27661 = 1391 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 27657 and 27661.

LCM(27657,27661) = 32 × 71 × 4391 × 1391 × 1991
LCM(27657,27661) = 765020277