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What is the Least Common Multiple of 27692 and 27697?

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 27692 and 27697 is 766985324.

LCM(27692,27697) = 766985324

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Least Common Multiple of 27692 and 27697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27692 and 27697, than apply into the LCM equation.

GCF(27692,27697) = 1
LCM(27692,27697) = ( 27692 × 27697) / 1
LCM(27692,27697) = 766985324 / 1
LCM(27692,27697) = 766985324

Least Common Multiple (LCM) of 27692 and 27697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27692 and 27697. First we will calculate the prime factors of 27692 and 27697.

Prime Factorization of 27692

Prime factors of 27692 are 2, 7, 23, 43. Prime factorization of 27692 in exponential form is:

27692 = 22 × 71 × 231 × 431

Prime Factorization of 27697

Prime factors of 27697 are 27697. Prime factorization of 27697 in exponential form is:

27697 = 276971

Now multiplying the highest exponent prime factors to calculate the LCM of 27692 and 27697.

LCM(27692,27697) = 22 × 71 × 231 × 431 × 276971
LCM(27692,27697) = 766985324