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What is the Least Common Multiple of 92405 and 92416?

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 92405 and 92416 is 8539700480.

LCM(92405,92416) = 8539700480

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Least Common Multiple of 92405 and 92416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92405 and 92416, than apply into the LCM equation.

GCF(92405,92416) = 1
LCM(92405,92416) = ( 92405 × 92416) / 1
LCM(92405,92416) = 8539700480 / 1
LCM(92405,92416) = 8539700480

Least Common Multiple (LCM) of 92405 and 92416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92405 and 92416. First we will calculate the prime factors of 92405 and 92416.

Prime Factorization of 92405

Prime factors of 92405 are 5, 18481. Prime factorization of 92405 in exponential form is:

92405 = 51 × 184811

Prime Factorization of 92416

Prime factors of 92416 are 2, 19. Prime factorization of 92416 in exponential form is:

92416 = 28 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 92405 and 92416.

LCM(92405,92416) = 51 × 184811 × 28 × 192
LCM(92405,92416) = 8539700480