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What is the Least Common Multiple of 92168 and 92175?

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 92168 and 92175 is 8495585400.

LCM(92168,92175) = 8495585400

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Least Common Multiple of 92168 and 92175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92168 and 92175, than apply into the LCM equation.

GCF(92168,92175) = 1
LCM(92168,92175) = ( 92168 × 92175) / 1
LCM(92168,92175) = 8495585400 / 1
LCM(92168,92175) = 8495585400

Least Common Multiple (LCM) of 92168 and 92175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92168 and 92175. First we will calculate the prime factors of 92168 and 92175.

Prime Factorization of 92168

Prime factors of 92168 are 2, 41, 281. Prime factorization of 92168 in exponential form is:

92168 = 23 × 411 × 2811

Prime Factorization of 92175

Prime factors of 92175 are 3, 5, 1229. Prime factorization of 92175 in exponential form is:

92175 = 31 × 52 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 92168 and 92175.

LCM(92168,92175) = 23 × 411 × 2811 × 31 × 52 × 12291
LCM(92168,92175) = 8495585400