What is the Least Common Multiple of 4027 and 4047?
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 4027 and 4047 is 16297269.
LCM(4027,4047) = 16297269
Least Common Multiple of 4027 and 4047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4027 and 4047, than apply into the LCM equation.
GCF(4027,4047) = 1
LCM(4027,4047) = ( 4027 × 4047) / 1
LCM(4027,4047) = 16297269 / 1
LCM(4027,4047) = 16297269
Least Common Multiple (LCM) of 4027 and 4047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4027 and 4047. First we will calculate the prime factors of 4027 and 4047.
Prime Factorization of 4027
Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:
4027 = 40271
Prime Factorization of 4047
Prime factors of 4047 are 3, 19, 71. Prime factorization of 4047 in exponential form is:
4047 = 31 × 191 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 4027 and 4047.
LCM(4027,4047) = 40271 × 31 × 191 × 711
LCM(4027,4047) = 16297269
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