What is the Least Common Multiple of 27484 and 27499?
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 27484 and 27499 is 755782516.
LCM(27484,27499) = 755782516
Least Common Multiple of 27484 and 27499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27484 and 27499, than apply into the LCM equation.
GCF(27484,27499) = 1
LCM(27484,27499) = ( 27484 × 27499) / 1
LCM(27484,27499) = 755782516 / 1
LCM(27484,27499) = 755782516
Least Common Multiple (LCM) of 27484 and 27499 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27484 and 27499. First we will calculate the prime factors of 27484 and 27499.
Prime Factorization of 27484
Prime factors of 27484 are 2, 6871. Prime factorization of 27484 in exponential form is:
27484 = 22 × 68711
Prime Factorization of 27499
Prime factors of 27499 are 107, 257. Prime factorization of 27499 in exponential form is:
27499 = 1071 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 27484 and 27499.
LCM(27484,27499) = 22 × 68711 × 1071 × 2571
LCM(27484,27499) = 755782516
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