What is the Least Common Multiple of 27018 and 27034?
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 27018 and 27034 is 365202306.
LCM(27018,27034) = 365202306
Least Common Multiple of 27018 and 27034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27018 and 27034, than apply into the LCM equation.
GCF(27018,27034) = 2
LCM(27018,27034) = ( 27018 × 27034) / 2
LCM(27018,27034) = 730404612 / 2
LCM(27018,27034) = 365202306
Least Common Multiple (LCM) of 27018 and 27034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27018 and 27034. First we will calculate the prime factors of 27018 and 27034.
Prime Factorization of 27018
Prime factors of 27018 are 2, 3, 19, 79. Prime factorization of 27018 in exponential form is:
27018 = 21 × 32 × 191 × 791
Prime Factorization of 27034
Prime factors of 27034 are 2, 7, 1931. Prime factorization of 27034 in exponential form is:
27034 = 21 × 71 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 27018 and 27034.
LCM(27018,27034) = 21 × 32 × 191 × 791 × 71 × 19311
LCM(27018,27034) = 365202306
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