What is the Least Common Multiple of 88879 and 88887?
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 88879 and 88887 is 7900187673.
LCM(88879,88887) = 7900187673
Least Common Multiple of 88879 and 88887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88879 and 88887, than apply into the LCM equation.
GCF(88879,88887) = 1
LCM(88879,88887) = ( 88879 × 88887) / 1
LCM(88879,88887) = 7900187673 / 1
LCM(88879,88887) = 7900187673
Least Common Multiple (LCM) of 88879 and 88887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88879 and 88887. First we will calculate the prime factors of 88879 and 88887.
Prime Factorization of 88879
Prime factors of 88879 are 7, 12697. Prime factorization of 88879 in exponential form is:
88879 = 71 × 126971
Prime Factorization of 88887
Prime factors of 88887 are 3, 29629. Prime factorization of 88887 in exponential form is:
88887 = 31 × 296291
Now multiplying the highest exponent prime factors to calculate the LCM of 88879 and 88887.
LCM(88879,88887) = 71 × 126971 × 31 × 296291
LCM(88879,88887) = 7900187673
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