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What is the Least Common Multiple of 85166 and 85177?

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 85166 and 85177 is 7254184382.

LCM(85166,85177) = 7254184382

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Least Common Multiple of 85166 and 85177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85166 and 85177, than apply into the LCM equation.

GCF(85166,85177) = 1
LCM(85166,85177) = ( 85166 × 85177) / 1
LCM(85166,85177) = 7254184382 / 1
LCM(85166,85177) = 7254184382

Least Common Multiple (LCM) of 85166 and 85177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85166 and 85177. First we will calculate the prime factors of 85166 and 85177.

Prime Factorization of 85166

Prime factors of 85166 are 2, 97, 439. Prime factorization of 85166 in exponential form is:

85166 = 21 × 971 × 4391

Prime Factorization of 85177

Prime factors of 85177 are 19, 4483. Prime factorization of 85177 in exponential form is:

85177 = 191 × 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 85166 and 85177.

LCM(85166,85177) = 21 × 971 × 4391 × 191 × 44831
LCM(85166,85177) = 7254184382