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What is the Least Common Multiple of 92892 and 92909?

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 92892 and 92909 is 8630502828.

LCM(92892,92909) = 8630502828

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Least Common Multiple of 92892 and 92909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92892 and 92909, than apply into the LCM equation.

GCF(92892,92909) = 1
LCM(92892,92909) = ( 92892 × 92909) / 1
LCM(92892,92909) = 8630502828 / 1
LCM(92892,92909) = 8630502828

Least Common Multiple (LCM) of 92892 and 92909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92892 and 92909. First we will calculate the prime factors of 92892 and 92909.

Prime Factorization of 92892

Prime factors of 92892 are 2, 3, 7741. Prime factorization of 92892 in exponential form is:

92892 = 22 × 31 × 77411

Prime Factorization of 92909

Prime factors of 92909 are 53, 1753. Prime factorization of 92909 in exponential form is:

92909 = 531 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 92892 and 92909.

LCM(92892,92909) = 22 × 31 × 77411 × 531 × 17531
LCM(92892,92909) = 8630502828