What is the Least Common Multiple of 88159 and 88175?
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 88159 and 88175 is 7773419825.
LCM(88159,88175) = 7773419825
Least Common Multiple of 88159 and 88175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88159 and 88175, than apply into the LCM equation.
GCF(88159,88175) = 1
LCM(88159,88175) = ( 88159 × 88175) / 1
LCM(88159,88175) = 7773419825 / 1
LCM(88159,88175) = 7773419825
Least Common Multiple (LCM) of 88159 and 88175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88159 and 88175. First we will calculate the prime factors of 88159 and 88175.
Prime Factorization of 88159
Prime factors of 88159 are 23, 3833. Prime factorization of 88159 in exponential form is:
88159 = 231 × 38331
Prime Factorization of 88175
Prime factors of 88175 are 5, 3527. Prime factorization of 88175 in exponential form is:
88175 = 52 × 35271
Now multiplying the highest exponent prime factors to calculate the LCM of 88159 and 88175.
LCM(88159,88175) = 231 × 38331 × 52 × 35271
LCM(88159,88175) = 7773419825
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