What is the Least Common Multiple of 27787 and 27806?
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 27787 and 27806 is 772645322.
LCM(27787,27806) = 772645322
Least Common Multiple of 27787 and 27806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27787 and 27806, than apply into the LCM equation.
GCF(27787,27806) = 1
LCM(27787,27806) = ( 27787 × 27806) / 1
LCM(27787,27806) = 772645322 / 1
LCM(27787,27806) = 772645322
Least Common Multiple (LCM) of 27787 and 27806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27787 and 27806. First we will calculate the prime factors of 27787 and 27806.
Prime Factorization of 27787
Prime factors of 27787 are 37, 751. Prime factorization of 27787 in exponential form is:
27787 = 371 × 7511
Prime Factorization of 27806
Prime factors of 27806 are 2, 13903. Prime factorization of 27806 in exponential form is:
27806 = 21 × 139031
Now multiplying the highest exponent prime factors to calculate the LCM of 27787 and 27806.
LCM(27787,27806) = 371 × 7511 × 21 × 139031
LCM(27787,27806) = 772645322
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