What is the Least Common Multiple of 88867 and 88875?
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 88867 and 88875 is 7898054625.
LCM(88867,88875) = 7898054625
Least Common Multiple of 88867 and 88875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88867 and 88875, than apply into the LCM equation.
GCF(88867,88875) = 1
LCM(88867,88875) = ( 88867 × 88875) / 1
LCM(88867,88875) = 7898054625 / 1
LCM(88867,88875) = 7898054625
Least Common Multiple (LCM) of 88867 and 88875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88867 and 88875. First we will calculate the prime factors of 88867 and 88875.
Prime Factorization of 88867
Prime factors of 88867 are 88867. Prime factorization of 88867 in exponential form is:
88867 = 888671
Prime Factorization of 88875
Prime factors of 88875 are 3, 5, 79. Prime factorization of 88875 in exponential form is:
88875 = 32 × 53 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 88867 and 88875.
LCM(88867,88875) = 888671 × 32 × 53 × 791
LCM(88867,88875) = 7898054625
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