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What is the Least Common Multiple of 92118 and 92131?

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 92118 and 92131 is 652840266.

LCM(92118,92131) = 652840266

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Least Common Multiple of 92118 and 92131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92118 and 92131, than apply into the LCM equation.

GCF(92118,92131) = 13
LCM(92118,92131) = ( 92118 × 92131) / 13
LCM(92118,92131) = 8486923458 / 13
LCM(92118,92131) = 652840266

Least Common Multiple (LCM) of 92118 and 92131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92118 and 92131. First we will calculate the prime factors of 92118 and 92131.

Prime Factorization of 92118

Prime factors of 92118 are 2, 3, 13, 1181. Prime factorization of 92118 in exponential form is:

92118 = 21 × 31 × 131 × 11811

Prime Factorization of 92131

Prime factors of 92131 are 13, 19, 373. Prime factorization of 92131 in exponential form is:

92131 = 131 × 191 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 92118 and 92131.

LCM(92118,92131) = 21 × 31 × 131 × 11811 × 191 × 3731
LCM(92118,92131) = 652840266