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What is the Least Common Multiple of 88166 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 88166 and 88181 is 7774566046.

LCM(88166,88181) = 7774566046

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Least Common Multiple of 88166 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 88166 and 88181, than apply into the LCM equation.

GCF(88166,88181) = 1
LCM(88166,88181) = ( 88166 × 88181) / 1
LCM(88166,88181) = 7774566046 / 1
LCM(88166,88181) = 7774566046

Least Common Multiple (LCM) of 88166 and 88181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88166 and 88181. First we will calculate the prime factors of 88166 and 88181.

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 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 88166 and 88181.

LCM(88166,88181) = 21 × 131 × 33911 × 1091 × 8091
LCM(88166,88181) = 7774566046