What is the Least Common Multiple of 4045 and 4057?
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 4045 and 4057 is 16410565.
LCM(4045,4057) = 16410565
Least Common Multiple of 4045 and 4057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4045 and 4057, than apply into the LCM equation.
GCF(4045,4057) = 1
LCM(4045,4057) = ( 4045 × 4057) / 1
LCM(4045,4057) = 16410565 / 1
LCM(4045,4057) = 16410565
Least Common Multiple (LCM) of 4045 and 4057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4045 and 4057. First we will calculate the prime factors of 4045 and 4057.
Prime Factorization of 4045
Prime factors of 4045 are 5, 809. Prime factorization of 4045 in exponential form is:
4045 = 51 × 8091
Prime Factorization of 4057
Prime factors of 4057 are 4057. Prime factorization of 4057 in exponential form is:
4057 = 40571
Now multiplying the highest exponent prime factors to calculate the LCM of 4045 and 4057.
LCM(4045,4057) = 51 × 8091 × 40571
LCM(4045,4057) = 16410565
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