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What is the Least Common Multiple of 4792 and 4809?

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 4792 and 4809 is 23044728.

LCM(4792,4809) = 23044728

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Least Common Multiple of 4792 and 4809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4792 and 4809, than apply into the LCM equation.

GCF(4792,4809) = 1
LCM(4792,4809) = ( 4792 × 4809) / 1
LCM(4792,4809) = 23044728 / 1
LCM(4792,4809) = 23044728

Least Common Multiple (LCM) of 4792 and 4809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4809. First we will calculate the prime factors of 4792 and 4809.

Prime Factorization of 4792

Prime factors of 4792 are 2, 599. Prime factorization of 4792 in exponential form is:

4792 = 23 × 5991

Prime Factorization of 4809

Prime factors of 4809 are 3, 7, 229. Prime factorization of 4809 in exponential form is:

4809 = 31 × 71 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4809.

LCM(4792,4809) = 23 × 5991 × 31 × 71 × 2291
LCM(4792,4809) = 23044728