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What is the Least Common Multiple of 92156 and 92174?

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 92156 and 92174 is 4247193572.

LCM(92156,92174) = 4247193572

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Least Common Multiple of 92156 and 92174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92156 and 92174, than apply into the LCM equation.

GCF(92156,92174) = 2
LCM(92156,92174) = ( 92156 × 92174) / 2
LCM(92156,92174) = 8494387144 / 2
LCM(92156,92174) = 4247193572

Least Common Multiple (LCM) of 92156 and 92174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92156 and 92174. First we will calculate the prime factors of 92156 and 92174.

Prime Factorization of 92156

Prime factors of 92156 are 2, 23039. Prime factorization of 92156 in exponential form is:

92156 = 22 × 230391

Prime Factorization of 92174

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

92174 = 21 × 171 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 92156 and 92174.

LCM(92156,92174) = 22 × 230391 × 171 × 27111
LCM(92156,92174) = 4247193572