What is the Least Common Multiple of 4770 and 4781?
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 4770 and 4781 is 22805370.
LCM(4770,4781) = 22805370
Least Common Multiple of 4770 and 4781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4770 and 4781, than apply into the LCM equation.
GCF(4770,4781) = 1
LCM(4770,4781) = ( 4770 × 4781) / 1
LCM(4770,4781) = 22805370 / 1
LCM(4770,4781) = 22805370
Least Common Multiple (LCM) of 4770 and 4781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4770 and 4781. First we will calculate the prime factors of 4770 and 4781.
Prime Factorization of 4770
Prime factors of 4770 are 2, 3, 5, 53. Prime factorization of 4770 in exponential form is:
4770 = 21 × 32 × 51 × 531
Prime Factorization of 4781
Prime factors of 4781 are 7, 683. Prime factorization of 4781 in exponential form is:
4781 = 71 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 4770 and 4781.
LCM(4770,4781) = 21 × 32 × 51 × 531 × 71 × 6831
LCM(4770,4781) = 22805370
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