What is the Least Common Multiple of 4797 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 4797 and 4809 is 7689591.
LCM(4797,4809) = 7689591
Least Common Multiple of 4797 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 4797 and 4809, than apply into the LCM equation.
GCF(4797,4809) = 3
LCM(4797,4809) = ( 4797 × 4809) / 3
LCM(4797,4809) = 23068773 / 3
LCM(4797,4809) = 7689591
Least Common Multiple (LCM) of 4797 and 4809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4797 and 4809. First we will calculate the prime factors of 4797 and 4809.
Prime Factorization of 4797
Prime factors of 4797 are 3, 13, 41. Prime factorization of 4797 in exponential form is:
4797 = 32 × 131 × 411
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 4797 and 4809.
LCM(4797,4809) = 32 × 131 × 411 × 71 × 2291
LCM(4797,4809) = 7689591
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