What is the Least Common Multiple of 15551 and 15571?
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 15551 and 15571 is 242144621.
LCM(15551,15571) = 242144621
Least Common Multiple of 15551 and 15571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15551 and 15571, than apply into the LCM equation.
GCF(15551,15571) = 1
LCM(15551,15571) = ( 15551 × 15571) / 1
LCM(15551,15571) = 242144621 / 1
LCM(15551,15571) = 242144621
Least Common Multiple (LCM) of 15551 and 15571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15551 and 15571. First we will calculate the prime factors of 15551 and 15571.
Prime Factorization of 15551
Prime factors of 15551 are 15551. Prime factorization of 15551 in exponential form is:
15551 = 155511
Prime Factorization of 15571
Prime factors of 15571 are 23, 677. Prime factorization of 15571 in exponential form is:
15571 = 231 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 15551 and 15571.
LCM(15551,15571) = 155511 × 231 × 6771
LCM(15551,15571) = 242144621
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