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What is the Least Common Multiple of 92410 and 92424?

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 92410 and 92424 is 4270450920.

LCM(92410,92424) = 4270450920

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Least Common Multiple of 92410 and 92424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92410 and 92424, than apply into the LCM equation.

GCF(92410,92424) = 2
LCM(92410,92424) = ( 92410 × 92424) / 2
LCM(92410,92424) = 8540901840 / 2
LCM(92410,92424) = 4270450920

Least Common Multiple (LCM) of 92410 and 92424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92410 and 92424. First we will calculate the prime factors of 92410 and 92424.

Prime Factorization of 92410

Prime factors of 92410 are 2, 5, 9241. Prime factorization of 92410 in exponential form is:

92410 = 21 × 51 × 92411

Prime Factorization of 92424

Prime factors of 92424 are 2, 3, 3851. Prime factorization of 92424 in exponential form is:

92424 = 23 × 31 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 92410 and 92424.

LCM(92410,92424) = 23 × 51 × 92411 × 31 × 38511
LCM(92410,92424) = 4270450920