What is the Least Common Multiple of 27066 and 27080?
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 27066 and 27080 is 366473640.
LCM(27066,27080) = 366473640
Least Common Multiple of 27066 and 27080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27066 and 27080, than apply into the LCM equation.
GCF(27066,27080) = 2
LCM(27066,27080) = ( 27066 × 27080) / 2
LCM(27066,27080) = 732947280 / 2
LCM(27066,27080) = 366473640
Least Common Multiple (LCM) of 27066 and 27080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27066 and 27080. First we will calculate the prime factors of 27066 and 27080.
Prime Factorization of 27066
Prime factors of 27066 are 2, 3, 13, 347. Prime factorization of 27066 in exponential form is:
27066 = 21 × 31 × 131 × 3471
Prime Factorization of 27080
Prime factors of 27080 are 2, 5, 677. Prime factorization of 27080 in exponential form is:
27080 = 23 × 51 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 27066 and 27080.
LCM(27066,27080) = 23 × 31 × 131 × 3471 × 51 × 6771
LCM(27066,27080) = 366473640
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