What is the Least Common Multiple of 7863 and 7867?
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 7863 and 7867 is 61858221.
LCM(7863,7867) = 61858221
Least Common Multiple of 7863 and 7867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7863 and 7867, than apply into the LCM equation.
GCF(7863,7867) = 1
LCM(7863,7867) = ( 7863 × 7867) / 1
LCM(7863,7867) = 61858221 / 1
LCM(7863,7867) = 61858221
Least Common Multiple (LCM) of 7863 and 7867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7863 and 7867. First we will calculate the prime factors of 7863 and 7867.
Prime Factorization of 7863
Prime factors of 7863 are 3, 2621. Prime factorization of 7863 in exponential form is:
7863 = 31 × 26211
Prime Factorization of 7867
Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:
7867 = 78671
Now multiplying the highest exponent prime factors to calculate the LCM of 7863 and 7867.
LCM(7863,7867) = 31 × 26211 × 78671
LCM(7863,7867) = 61858221
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