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What is the Least Common Multiple of 92412 and 92431?

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 92412 and 92431 is 8541733572.

LCM(92412,92431) = 8541733572

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Least Common Multiple of 92412 and 92431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92412 and 92431, than apply into the LCM equation.

GCF(92412,92431) = 1
LCM(92412,92431) = ( 92412 × 92431) / 1
LCM(92412,92431) = 8541733572 / 1
LCM(92412,92431) = 8541733572

Least Common Multiple (LCM) of 92412 and 92431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92412 and 92431. First we will calculate the prime factors of 92412 and 92431.

Prime Factorization of 92412

Prime factors of 92412 are 2, 3, 17, 151. Prime factorization of 92412 in exponential form is:

92412 = 22 × 32 × 171 × 1511

Prime Factorization of 92431

Prime factors of 92431 are 92431. Prime factorization of 92431 in exponential form is:

92431 = 924311

Now multiplying the highest exponent prime factors to calculate the LCM of 92412 and 92431.

LCM(92412,92431) = 22 × 32 × 171 × 1511 × 924311
LCM(92412,92431) = 8541733572