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What is the Least Common Multiple of 27683 and 27692?

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 27683 and 27692 is 766597636.

LCM(27683,27692) = 766597636

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Least Common Multiple of 27683 and 27692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27683 and 27692, than apply into the LCM equation.

GCF(27683,27692) = 1
LCM(27683,27692) = ( 27683 × 27692) / 1
LCM(27683,27692) = 766597636 / 1
LCM(27683,27692) = 766597636

Least Common Multiple (LCM) of 27683 and 27692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27683 and 27692. First we will calculate the prime factors of 27683 and 27692.

Prime Factorization of 27683

Prime factors of 27683 are 19, 31, 47. Prime factorization of 27683 in exponential form is:

27683 = 191 × 311 × 471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27683 and 27692.

LCM(27683,27692) = 191 × 311 × 471 × 22 × 71 × 231 × 431
LCM(27683,27692) = 766597636