What is the Least Common Multiple of 79867 and 79887?
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 79867 and 79887 is 6380335029.
LCM(79867,79887) = 6380335029
Least Common Multiple of 79867 and 79887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79867 and 79887, than apply into the LCM equation.
GCF(79867,79887) = 1
LCM(79867,79887) = ( 79867 × 79887) / 1
LCM(79867,79887) = 6380335029 / 1
LCM(79867,79887) = 6380335029
Least Common Multiple (LCM) of 79867 and 79887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79867 and 79887. First we will calculate the prime factors of 79867 and 79887.
Prime Factorization of 79867
Prime factors of 79867 are 79867. Prime factorization of 79867 in exponential form is:
79867 = 798671
Prime Factorization of 79887
Prime factors of 79887 are 3, 31, 859. Prime factorization of 79887 in exponential form is:
79887 = 31 × 311 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 79867 and 79887.
LCM(79867,79887) = 798671 × 31 × 311 × 8591
LCM(79867,79887) = 6380335029
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