What is the Least Common Multiple of 88849 and 88858?
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 88858 is 7894944442.
LCM(88849,88858) = 7894944442
Least Common Multiple of 88849 and 88858 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 88858, than apply into the LCM equation.
GCF(88849,88858) = 1
LCM(88849,88858) = ( 88849 × 88858) / 1
LCM(88849,88858) = 7894944442 / 1
LCM(88849,88858) = 7894944442
Least Common Multiple (LCM) of 88849 and 88858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88849 and 88858. First we will calculate the prime factors of 88849 and 88858.
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 88858
Prime factors of 88858 are 2, 7, 11, 577. Prime factorization of 88858 in exponential form is:
88858 = 21 × 71 × 111 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 88849 and 88858.
LCM(88849,88858) = 231 × 38631 × 21 × 71 × 111 × 5771
LCM(88849,88858) = 7894944442
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