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What is the Least Common Multiple of 92150 and 92168?

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 92150 and 92168 is 4246640600.

LCM(92150,92168) = 4246640600

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Least Common Multiple of 92150 and 92168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92150 and 92168, than apply into the LCM equation.

GCF(92150,92168) = 2
LCM(92150,92168) = ( 92150 × 92168) / 2
LCM(92150,92168) = 8493281200 / 2
LCM(92150,92168) = 4246640600

Least Common Multiple (LCM) of 92150 and 92168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92150 and 92168. First we will calculate the prime factors of 92150 and 92168.

Prime Factorization of 92150

Prime factors of 92150 are 2, 5, 19, 97. Prime factorization of 92150 in exponential form is:

92150 = 21 × 52 × 191 × 971

Prime Factorization of 92168

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

92168 = 23 × 411 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 92150 and 92168.

LCM(92150,92168) = 23 × 52 × 191 × 971 × 411 × 2811
LCM(92150,92168) = 4246640600