What is the Least Common Multiple of 76863 and 76867?
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 76863 and 76867 is 5908228221.
LCM(76863,76867) = 5908228221
Least Common Multiple of 76863 and 76867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76863 and 76867, than apply into the LCM equation.
GCF(76863,76867) = 1
LCM(76863,76867) = ( 76863 × 76867) / 1
LCM(76863,76867) = 5908228221 / 1
LCM(76863,76867) = 5908228221
Least Common Multiple (LCM) of 76863 and 76867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76863 and 76867. First we will calculate the prime factors of 76863 and 76867.
Prime Factorization of 76863
Prime factors of 76863 are 3, 25621. Prime factorization of 76863 in exponential form is:
76863 = 31 × 256211
Prime Factorization of 76867
Prime factors of 76867 are 7, 79, 139. Prime factorization of 76867 in exponential form is:
76867 = 71 × 791 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 76863 and 76867.
LCM(76863,76867) = 31 × 256211 × 71 × 791 × 1391
LCM(76863,76867) = 5908228221
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