What is the Least Common Multiple of 15581 and 15585?
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 15581 and 15585 is 242829885.
LCM(15581,15585) = 242829885
Least Common Multiple of 15581 and 15585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15581 and 15585, than apply into the LCM equation.
GCF(15581,15585) = 1
LCM(15581,15585) = ( 15581 × 15585) / 1
LCM(15581,15585) = 242829885 / 1
LCM(15581,15585) = 242829885
Least Common Multiple (LCM) of 15581 and 15585 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15581 and 15585. First we will calculate the prime factors of 15581 and 15585.
Prime Factorization of 15581
Prime factors of 15581 are 15581. Prime factorization of 15581 in exponential form is:
15581 = 155811
Prime Factorization of 15585
Prime factors of 15585 are 3, 5, 1039. Prime factorization of 15585 in exponential form is:
15585 = 31 × 51 × 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 15581 and 15585.
LCM(15581,15585) = 155811 × 31 × 51 × 10391
LCM(15581,15585) = 242829885
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