What is the Least Common Multiple of 15511 and 15522?
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 15511 and 15522 is 240761742.
LCM(15511,15522) = 240761742
Least Common Multiple of 15511 and 15522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15511 and 15522, than apply into the LCM equation.
GCF(15511,15522) = 1
LCM(15511,15522) = ( 15511 × 15522) / 1
LCM(15511,15522) = 240761742 / 1
LCM(15511,15522) = 240761742
Least Common Multiple (LCM) of 15511 and 15522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15511 and 15522. First we will calculate the prime factors of 15511 and 15522.
Prime Factorization of 15511
Prime factors of 15511 are 15511. Prime factorization of 15511 in exponential form is:
15511 = 155111
Prime Factorization of 15522
Prime factors of 15522 are 2, 3, 13, 199. Prime factorization of 15522 in exponential form is:
15522 = 21 × 31 × 131 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 15511 and 15522.
LCM(15511,15522) = 155111 × 21 × 31 × 131 × 1991
LCM(15511,15522) = 240761742
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