What is the Least Common Multiple of 76878 and 76897?
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 76878 and 76897 is 5911687566.
LCM(76878,76897) = 5911687566
Least Common Multiple of 76878 and 76897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76878 and 76897, than apply into the LCM equation.
GCF(76878,76897) = 1
LCM(76878,76897) = ( 76878 × 76897) / 1
LCM(76878,76897) = 5911687566 / 1
LCM(76878,76897) = 5911687566
Least Common Multiple (LCM) of 76878 and 76897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76878 and 76897. First we will calculate the prime factors of 76878 and 76897.
Prime Factorization of 76878
Prime factors of 76878 are 2, 3, 4271. Prime factorization of 76878 in exponential form is:
76878 = 21 × 32 × 42711
Prime Factorization of 76897
Prime factors of 76897 are 131, 587. Prime factorization of 76897 in exponential form is:
76897 = 1311 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 76878 and 76897.
LCM(76878,76897) = 21 × 32 × 42711 × 1311 × 5871
LCM(76878,76897) = 5911687566
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