What is the Least Common Multiple of 15559 and 15563?
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 15559 and 15563 is 242144717.
LCM(15559,15563) = 242144717
Least Common Multiple of 15559 and 15563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15559 and 15563, than apply into the LCM equation.
GCF(15559,15563) = 1
LCM(15559,15563) = ( 15559 × 15563) / 1
LCM(15559,15563) = 242144717 / 1
LCM(15559,15563) = 242144717
Least Common Multiple (LCM) of 15559 and 15563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15559 and 15563. First we will calculate the prime factors of 15559 and 15563.
Prime Factorization of 15559
Prime factors of 15559 are 15559. Prime factorization of 15559 in exponential form is:
15559 = 155591
Prime Factorization of 15563
Prime factors of 15563 are 79, 197. Prime factorization of 15563 in exponential form is:
15563 = 791 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 15559 and 15563.
LCM(15559,15563) = 155591 × 791 × 1971
LCM(15559,15563) = 242144717
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