What is the Least Common Multiple of 4771 and 4785?
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 4771 and 4785 is 22829235.
LCM(4771,4785) = 22829235
Least Common Multiple of 4771 and 4785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4771 and 4785, than apply into the LCM equation.
GCF(4771,4785) = 1
LCM(4771,4785) = ( 4771 × 4785) / 1
LCM(4771,4785) = 22829235 / 1
LCM(4771,4785) = 22829235
Least Common Multiple (LCM) of 4771 and 4785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4771 and 4785. First we will calculate the prime factors of 4771 and 4785.
Prime Factorization of 4771
Prime factors of 4771 are 13, 367. Prime factorization of 4771 in exponential form is:
4771 = 131 × 3671
Prime Factorization of 4785
Prime factors of 4785 are 3, 5, 11, 29. Prime factorization of 4785 in exponential form is:
4785 = 31 × 51 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 4771 and 4785.
LCM(4771,4785) = 131 × 3671 × 31 × 51 × 111 × 291
LCM(4771,4785) = 22829235
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