What is the Least Common Multiple of 88163 and 88173?
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 88163 and 88173 is 7773596199.
LCM(88163,88173) = 7773596199
Least Common Multiple of 88163 and 88173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88163 and 88173, than apply into the LCM equation.
GCF(88163,88173) = 1
LCM(88163,88173) = ( 88163 × 88173) / 1
LCM(88163,88173) = 7773596199 / 1
LCM(88163,88173) = 7773596199
Least Common Multiple (LCM) of 88163 and 88173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88163 and 88173. First we will calculate the prime factors of 88163 and 88173.
Prime Factorization of 88163
Prime factors of 88163 are 131, 673. Prime factorization of 88163 in exponential form is:
88163 = 1311 × 6731
Prime Factorization of 88173
Prime factors of 88173 are 3, 97, 101. Prime factorization of 88173 in exponential form is:
88173 = 32 × 971 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 88163 and 88173.
LCM(88163,88173) = 1311 × 6731 × 32 × 971 × 1011
LCM(88163,88173) = 7773596199
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