What is the Least Common Multiple of 88849 and 88869?
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 88849 and 88869 is 7895921781.
LCM(88849,88869) = 7895921781
Least Common Multiple of 88849 and 88869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88849 and 88869, than apply into the LCM equation.
GCF(88849,88869) = 1
LCM(88849,88869) = ( 88849 × 88869) / 1
LCM(88849,88869) = 7895921781 / 1
LCM(88849,88869) = 7895921781
Least Common Multiple (LCM) of 88849 and 88869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88849 and 88869. First we will calculate the prime factors of 88849 and 88869.
Prime Factorization of 88849
Prime factors of 88849 are 23, 3863. Prime factorization of 88849 in exponential form is:
88849 = 231 × 38631
Prime Factorization of 88869
Prime factors of 88869 are 3, 11, 2693. Prime factorization of 88869 in exponential form is:
88869 = 31 × 111 × 26931
Now multiplying the highest exponent prime factors to calculate the LCM of 88849 and 88869.
LCM(88849,88869) = 231 × 38631 × 31 × 111 × 26931
LCM(88849,88869) = 7895921781
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