What is the Least Common Multiple of 66027 and 66044?
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 66027 and 66044 is 4360687188.
LCM(66027,66044) = 4360687188
Least Common Multiple of 66027 and 66044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66027 and 66044, than apply into the LCM equation.
GCF(66027,66044) = 1
LCM(66027,66044) = ( 66027 × 66044) / 1
LCM(66027,66044) = 4360687188 / 1
LCM(66027,66044) = 4360687188
Least Common Multiple (LCM) of 66027 and 66044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66027 and 66044. First we will calculate the prime factors of 66027 and 66044.
Prime Factorization of 66027
Prime factors of 66027 are 3, 13, 1693. Prime factorization of 66027 in exponential form is:
66027 = 31 × 131 × 16931
Prime Factorization of 66044
Prime factors of 66044 are 2, 11, 19, 79. Prime factorization of 66044 in exponential form is:
66044 = 22 × 111 × 191 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 66027 and 66044.
LCM(66027,66044) = 31 × 131 × 16931 × 22 × 111 × 191 × 791
LCM(66027,66044) = 4360687188
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