What is the Least Common Multiple of 27555 and 27559?
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 27555 and 27559 is 759388245.
LCM(27555,27559) = 759388245
Least Common Multiple of 27555 and 27559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27555 and 27559, than apply into the LCM equation.
GCF(27555,27559) = 1
LCM(27555,27559) = ( 27555 × 27559) / 1
LCM(27555,27559) = 759388245 / 1
LCM(27555,27559) = 759388245
Least Common Multiple (LCM) of 27555 and 27559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27555 and 27559. First we will calculate the prime factors of 27555 and 27559.
Prime Factorization of 27555
Prime factors of 27555 are 3, 5, 11, 167. Prime factorization of 27555 in exponential form is:
27555 = 31 × 51 × 111 × 1671
Prime Factorization of 27559
Prime factors of 27559 are 7, 31, 127. Prime factorization of 27559 in exponential form is:
27559 = 71 × 311 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 27555 and 27559.
LCM(27555,27559) = 31 × 51 × 111 × 1671 × 71 × 311 × 1271
LCM(27555,27559) = 759388245
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