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What is the Least Common Multiple of 92168 and 92180?

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 92180 is 2124011560.

LCM(92168,92180) = 2124011560

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Least Common Multiple of 92168 and 92180 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 92180, than apply into the LCM equation.

GCF(92168,92180) = 4
LCM(92168,92180) = ( 92168 × 92180) / 4
LCM(92168,92180) = 8496046240 / 4
LCM(92168,92180) = 2124011560

Least Common Multiple (LCM) of 92168 and 92180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92168 and 92180. First we will calculate the prime factors of 92168 and 92180.

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 92180

Prime factors of 92180 are 2, 5, 11, 419. Prime factorization of 92180 in exponential form is:

92180 = 22 × 51 × 111 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 92168 and 92180.

LCM(92168,92180) = 23 × 411 × 2811 × 51 × 111 × 4191
LCM(92168,92180) = 2124011560