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What is the Least Common Multiple of 92912 and 92924?

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 92912 and 92924 is 2158438672.

LCM(92912,92924) = 2158438672

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Least Common Multiple of 92912 and 92924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92912 and 92924, than apply into the LCM equation.

GCF(92912,92924) = 4
LCM(92912,92924) = ( 92912 × 92924) / 4
LCM(92912,92924) = 8633754688 / 4
LCM(92912,92924) = 2158438672

Least Common Multiple (LCM) of 92912 and 92924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92912 and 92924. First we will calculate the prime factors of 92912 and 92924.

Prime Factorization of 92912

Prime factors of 92912 are 2, 5807. Prime factorization of 92912 in exponential form is:

92912 = 24 × 58071

Prime Factorization of 92924

Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:

92924 = 22 × 131 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 92912 and 92924.

LCM(92912,92924) = 24 × 58071 × 131 × 17871
LCM(92912,92924) = 2158438672