What is the Least Common Multiple of 9063 and 9067?
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 9063 and 9067 is 82174221.
LCM(9063,9067) = 82174221
Least Common Multiple of 9063 and 9067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9063 and 9067, than apply into the LCM equation.
GCF(9063,9067) = 1
LCM(9063,9067) = ( 9063 × 9067) / 1
LCM(9063,9067) = 82174221 / 1
LCM(9063,9067) = 82174221
Least Common Multiple (LCM) of 9063 and 9067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9063 and 9067. First we will calculate the prime factors of 9063 and 9067.
Prime Factorization of 9063
Prime factors of 9063 are 3, 19, 53. Prime factorization of 9063 in exponential form is:
9063 = 32 × 191 × 531
Prime Factorization of 9067
Prime factors of 9067 are 9067. Prime factorization of 9067 in exponential form is:
9067 = 90671
Now multiplying the highest exponent prime factors to calculate the LCM of 9063 and 9067.
LCM(9063,9067) = 32 × 191 × 531 × 90671
LCM(9063,9067) = 82174221
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