What is the Least Common Multiple of 88885 and 88899?
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 88885 and 88899 is 7901787615.
LCM(88885,88899) = 7901787615
Least Common Multiple of 88885 and 88899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88885 and 88899, than apply into the LCM equation.
GCF(88885,88899) = 1
LCM(88885,88899) = ( 88885 × 88899) / 1
LCM(88885,88899) = 7901787615 / 1
LCM(88885,88899) = 7901787615
Least Common Multiple (LCM) of 88885 and 88899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88885 and 88899. First we will calculate the prime factors of 88885 and 88899.
Prime Factorization of 88885
Prime factors of 88885 are 5, 29, 613. Prime factorization of 88885 in exponential form is:
88885 = 51 × 291 × 6131
Prime Factorization of 88899
Prime factors of 88899 are 3, 29633. Prime factorization of 88899 in exponential form is:
88899 = 31 × 296331
Now multiplying the highest exponent prime factors to calculate the LCM of 88885 and 88899.
LCM(88885,88899) = 51 × 291 × 6131 × 31 × 296331
LCM(88885,88899) = 7901787615
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