What is the Least Common Multiple of 88682 and 88695?
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 88682 and 88695 is 7865649990.
LCM(88682,88695) = 7865649990
Least Common Multiple of 88682 and 88695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88682 and 88695, than apply into the LCM equation.
GCF(88682,88695) = 1
LCM(88682,88695) = ( 88682 × 88695) / 1
LCM(88682,88695) = 7865649990 / 1
LCM(88682,88695) = 7865649990
Least Common Multiple (LCM) of 88682 and 88695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88682 and 88695. First we will calculate the prime factors of 88682 and 88695.
Prime Factorization of 88682
Prime factors of 88682 are 2, 11, 29, 139. Prime factorization of 88682 in exponential form is:
88682 = 21 × 111 × 291 × 1391
Prime Factorization of 88695
Prime factors of 88695 are 3, 5, 73. Prime factorization of 88695 in exponential form is:
88695 = 35 × 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 88682 and 88695.
LCM(88682,88695) = 21 × 111 × 291 × 1391 × 35 × 51 × 731
LCM(88682,88695) = 7865649990
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