What is the Least Common Multiple of 88557 and 88573?
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 88557 and 88573 is 7843759161.
LCM(88557,88573) = 7843759161
Least Common Multiple of 88557 and 88573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88557 and 88573, than apply into the LCM equation.
GCF(88557,88573) = 1
LCM(88557,88573) = ( 88557 × 88573) / 1
LCM(88557,88573) = 7843759161 / 1
LCM(88557,88573) = 7843759161
Least Common Multiple (LCM) of 88557 and 88573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88557 and 88573. First we will calculate the prime factors of 88557 and 88573.
Prime Factorization of 88557
Prime factors of 88557 are 3, 7, 4217. Prime factorization of 88557 in exponential form is:
88557 = 31 × 71 × 42171
Prime Factorization of 88573
Prime factors of 88573 are 23, 3851. Prime factorization of 88573 in exponential form is:
88573 = 231 × 38511
Now multiplying the highest exponent prime factors to calculate the LCM of 88557 and 88573.
LCM(88557,88573) = 31 × 71 × 42171 × 231 × 38511
LCM(88557,88573) = 7843759161
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