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What is the Least Common Multiple of 92824 and 92830?

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 92824 and 92830 is 4308425960.

LCM(92824,92830) = 4308425960

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Least Common Multiple of 92824 and 92830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92824 and 92830, than apply into the LCM equation.

GCF(92824,92830) = 2
LCM(92824,92830) = ( 92824 × 92830) / 2
LCM(92824,92830) = 8616851920 / 2
LCM(92824,92830) = 4308425960

Least Common Multiple (LCM) of 92824 and 92830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92824 and 92830. First we will calculate the prime factors of 92824 and 92830.

Prime Factorization of 92824

Prime factors of 92824 are 2, 41, 283. Prime factorization of 92824 in exponential form is:

92824 = 23 × 411 × 2831

Prime Factorization of 92830

Prime factors of 92830 are 2, 5, 9283. Prime factorization of 92830 in exponential form is:

92830 = 21 × 51 × 92831

Now multiplying the highest exponent prime factors to calculate the LCM of 92824 and 92830.

LCM(92824,92830) = 23 × 411 × 2831 × 51 × 92831
LCM(92824,92830) = 4308425960