What is the Least Common Multiple of 7867 and 7883?
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 7867 and 7883 is 62015561.
LCM(7867,7883) = 62015561
Least Common Multiple of 7867 and 7883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7867 and 7883, than apply into the LCM equation.
GCF(7867,7883) = 1
LCM(7867,7883) = ( 7867 × 7883) / 1
LCM(7867,7883) = 62015561 / 1
LCM(7867,7883) = 62015561
Least Common Multiple (LCM) of 7867 and 7883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7867 and 7883. First we will calculate the prime factors of 7867 and 7883.
Prime Factorization of 7867
Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:
7867 = 78671
Prime Factorization of 7883
Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:
7883 = 78831
Now multiplying the highest exponent prime factors to calculate the LCM of 7867 and 7883.
LCM(7867,7883) = 78671 × 78831
LCM(7867,7883) = 62015561
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