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What is the Least Common Multiple of 92174 and 92181?

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 92174 and 92181 is 8496691494.

LCM(92174,92181) = 8496691494

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Least Common Multiple of 92174 and 92181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92174 and 92181, than apply into the LCM equation.

GCF(92174,92181) = 1
LCM(92174,92181) = ( 92174 × 92181) / 1
LCM(92174,92181) = 8496691494 / 1
LCM(92174,92181) = 8496691494

Least Common Multiple (LCM) of 92174 and 92181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92174 and 92181. First we will calculate the prime factors of 92174 and 92181.

Prime Factorization of 92174

Prime factors of 92174 are 2, 17, 2711. Prime factorization of 92174 in exponential form is:

92174 = 21 × 171 × 27111

Prime Factorization of 92181

Prime factors of 92181 are 3, 30727. Prime factorization of 92181 in exponential form is:

92181 = 31 × 307271

Now multiplying the highest exponent prime factors to calculate the LCM of 92174 and 92181.

LCM(92174,92181) = 21 × 171 × 27111 × 31 × 307271
LCM(92174,92181) = 8496691494