What is the Least Common Multiple of 88169 and 88187?
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 88169 and 88187 is 7775359603.
LCM(88169,88187) = 7775359603
Least Common Multiple of 88169 and 88187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88169 and 88187, than apply into the LCM equation.
GCF(88169,88187) = 1
LCM(88169,88187) = ( 88169 × 88187) / 1
LCM(88169,88187) = 7775359603 / 1
LCM(88169,88187) = 7775359603
Least Common Multiple (LCM) of 88169 and 88187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88169 and 88187. First we will calculate the prime factors of 88169 and 88187.
Prime Factorization of 88169
Prime factors of 88169 are 88169. Prime factorization of 88169 in exponential form is:
88169 = 881691
Prime Factorization of 88187
Prime factors of 88187 are 11, 8017. Prime factorization of 88187 in exponential form is:
88187 = 111 × 80171
Now multiplying the highest exponent prime factors to calculate the LCM of 88169 and 88187.
LCM(88169,88187) = 881691 × 111 × 80171
LCM(88169,88187) = 7775359603
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