What is the Least Common Multiple of 27539 and 27551?
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 27539 and 27551 is 758726989.
LCM(27539,27551) = 758726989
Least Common Multiple of 27539 and 27551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27539 and 27551, than apply into the LCM equation.
GCF(27539,27551) = 1
LCM(27539,27551) = ( 27539 × 27551) / 1
LCM(27539,27551) = 758726989 / 1
LCM(27539,27551) = 758726989
Least Common Multiple (LCM) of 27539 and 27551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27539 and 27551. First we will calculate the prime factors of 27539 and 27551.
Prime Factorization of 27539
Prime factors of 27539 are 27539. Prime factorization of 27539 in exponential form is:
27539 = 275391
Prime Factorization of 27551
Prime factors of 27551 are 27551. Prime factorization of 27551 in exponential form is:
27551 = 275511
Now multiplying the highest exponent prime factors to calculate the LCM of 27539 and 27551.
LCM(27539,27551) = 275391 × 275511
LCM(27539,27551) = 758726989
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