What is the Least Common Multiple of 88868 and 88879?
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 88868 and 88879 is 7898498972.
LCM(88868,88879) = 7898498972
Least Common Multiple of 88868 and 88879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88868 and 88879, than apply into the LCM equation.
GCF(88868,88879) = 1
LCM(88868,88879) = ( 88868 × 88879) / 1
LCM(88868,88879) = 7898498972 / 1
LCM(88868,88879) = 7898498972
Least Common Multiple (LCM) of 88868 and 88879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88868 and 88879. First we will calculate the prime factors of 88868 and 88879.
Prime Factorization of 88868
Prime factors of 88868 are 2, 13, 1709. Prime factorization of 88868 in exponential form is:
88868 = 22 × 131 × 17091
Prime Factorization of 88879
Prime factors of 88879 are 7, 12697. Prime factorization of 88879 in exponential form is:
88879 = 71 × 126971
Now multiplying the highest exponent prime factors to calculate the LCM of 88868 and 88879.
LCM(88868,88879) = 22 × 131 × 17091 × 71 × 126971
LCM(88868,88879) = 7898498972
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