What is the Least Common Multiple of 88171 and 88181?
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 88171 and 88181 is 7775006951.
LCM(88171,88181) = 7775006951
Least Common Multiple of 88171 and 88181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88171 and 88181, than apply into the LCM equation.
GCF(88171,88181) = 1
LCM(88171,88181) = ( 88171 × 88181) / 1
LCM(88171,88181) = 7775006951 / 1
LCM(88171,88181) = 7775006951
Least Common Multiple (LCM) of 88171 and 88181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88171 and 88181. First we will calculate the prime factors of 88171 and 88181.
Prime Factorization of 88171
Prime factors of 88171 are 37, 2383. Prime factorization of 88171 in exponential form is:
88171 = 371 × 23831
Prime Factorization of 88181
Prime factors of 88181 are 109, 809. Prime factorization of 88181 in exponential form is:
88181 = 1091 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 88171 and 88181.
LCM(88171,88181) = 371 × 23831 × 1091 × 8091
LCM(88171,88181) = 7775006951
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