What is the Least Common Multiple of 76827 and 76847?
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 76827 and 76847 is 5903924469.
LCM(76827,76847) = 5903924469
Least Common Multiple of 76827 and 76847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76827 and 76847, than apply into the LCM equation.
GCF(76827,76847) = 1
LCM(76827,76847) = ( 76827 × 76847) / 1
LCM(76827,76847) = 5903924469 / 1
LCM(76827,76847) = 5903924469
Least Common Multiple (LCM) of 76827 and 76847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76827 and 76847. First we will calculate the prime factors of 76827 and 76847.
Prime Factorization of 76827
Prime factors of 76827 are 3, 25609. Prime factorization of 76827 in exponential form is:
76827 = 31 × 256091
Prime Factorization of 76847
Prime factors of 76847 are 76847. Prime factorization of 76847 in exponential form is:
76847 = 768471
Now multiplying the highest exponent prime factors to calculate the LCM of 76827 and 76847.
LCM(76827,76847) = 31 × 256091 × 768471
LCM(76827,76847) = 5903924469
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