What is the Least Common Multiple of 27485 and 27491?
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 27485 and 27491 is 755590135.
LCM(27485,27491) = 755590135
Least Common Multiple of 27485 and 27491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27485 and 27491, than apply into the LCM equation.
GCF(27485,27491) = 1
LCM(27485,27491) = ( 27485 × 27491) / 1
LCM(27485,27491) = 755590135 / 1
LCM(27485,27491) = 755590135
Least Common Multiple (LCM) of 27485 and 27491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27485 and 27491. First we will calculate the prime factors of 27485 and 27491.
Prime Factorization of 27485
Prime factors of 27485 are 5, 23, 239. Prime factorization of 27485 in exponential form is:
27485 = 51 × 231 × 2391
Prime Factorization of 27491
Prime factors of 27491 are 37, 743. Prime factorization of 27491 in exponential form is:
27491 = 371 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 27485 and 27491.
LCM(27485,27491) = 51 × 231 × 2391 × 371 × 7431
LCM(27485,27491) = 755590135
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Related Least Common Multiples of 27491
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