What is the Least Common Multiple of 4777 and 4790?
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 4777 and 4790 is 22881830.
LCM(4777,4790) = 22881830
Least Common Multiple of 4777 and 4790 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4777 and 4790, than apply into the LCM equation.
GCF(4777,4790) = 1
LCM(4777,4790) = ( 4777 × 4790) / 1
LCM(4777,4790) = 22881830 / 1
LCM(4777,4790) = 22881830
Least Common Multiple (LCM) of 4777 and 4790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4777 and 4790. First we will calculate the prime factors of 4777 and 4790.
Prime Factorization of 4777
Prime factors of 4777 are 17, 281. Prime factorization of 4777 in exponential form is:
4777 = 171 × 2811
Prime Factorization of 4790
Prime factors of 4790 are 2, 5, 479. Prime factorization of 4790 in exponential form is:
4790 = 21 × 51 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 4777 and 4790.
LCM(4777,4790) = 171 × 2811 × 21 × 51 × 4791
LCM(4777,4790) = 22881830
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