What is the Least Common Multiple of 25511 and 25527?
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 25511 and 25527 is 651219297.
LCM(25511,25527) = 651219297
Least Common Multiple of 25511 and 25527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25511 and 25527, than apply into the LCM equation.
GCF(25511,25527) = 1
LCM(25511,25527) = ( 25511 × 25527) / 1
LCM(25511,25527) = 651219297 / 1
LCM(25511,25527) = 651219297
Least Common Multiple (LCM) of 25511 and 25527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25511 and 25527. First we will calculate the prime factors of 25511 and 25527.
Prime Factorization of 25511
Prime factors of 25511 are 97, 263. Prime factorization of 25511 in exponential form is:
25511 = 971 × 2631
Prime Factorization of 25527
Prime factors of 25527 are 3, 67, 127. Prime factorization of 25527 in exponential form is:
25527 = 31 × 671 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 25511 and 25527.
LCM(25511,25527) = 971 × 2631 × 31 × 671 × 1271
LCM(25511,25527) = 651219297
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