What is the Least Common Multiple of 88166 and 88183?
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 88166 and 88183 is 7774742378.
LCM(88166,88183) = 7774742378
Least Common Multiple of 88166 and 88183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88166 and 88183, than apply into the LCM equation.
GCF(88166,88183) = 1
LCM(88166,88183) = ( 88166 × 88183) / 1
LCM(88166,88183) = 7774742378 / 1
LCM(88166,88183) = 7774742378
Least Common Multiple (LCM) of 88166 and 88183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88166 and 88183. First we will calculate the prime factors of 88166 and 88183.
Prime Factorization of 88166
Prime factors of 88166 are 2, 13, 3391. Prime factorization of 88166 in exponential form is:
88166 = 21 × 131 × 33911
Prime Factorization of 88183
Prime factors of 88183 are 163, 541. Prime factorization of 88183 in exponential form is:
88183 = 1631 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 88166 and 88183.
LCM(88166,88183) = 21 × 131 × 33911 × 1631 × 5411
LCM(88166,88183) = 7774742378
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