What is the Least Common Multiple of 27787 and 27799?
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 27799 is 772450813.
LCM(27787,27799) = 772450813
Least Common Multiple of 27787 and 27799 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 27799, than apply into the LCM equation.
GCF(27787,27799) = 1
LCM(27787,27799) = ( 27787 × 27799) / 1
LCM(27787,27799) = 772450813 / 1
LCM(27787,27799) = 772450813
Least Common Multiple (LCM) of 27787 and 27799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27787 and 27799. First we will calculate the prime factors of 27787 and 27799.
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 27799
Prime factors of 27799 are 27799. Prime factorization of 27799 in exponential form is:
27799 = 277991
Now multiplying the highest exponent prime factors to calculate the LCM of 27787 and 27799.
LCM(27787,27799) = 371 × 7511 × 277991
LCM(27787,27799) = 772450813
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