What is the Least Common Multiple of 15601 and 15605?
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 15601 and 15605 is 243453605.
LCM(15601,15605) = 243453605
Least Common Multiple of 15601 and 15605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15601 and 15605, than apply into the LCM equation.
GCF(15601,15605) = 1
LCM(15601,15605) = ( 15601 × 15605) / 1
LCM(15601,15605) = 243453605 / 1
LCM(15601,15605) = 243453605
Least Common Multiple (LCM) of 15601 and 15605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15601 and 15605. First we will calculate the prime factors of 15601 and 15605.
Prime Factorization of 15601
Prime factors of 15601 are 15601. Prime factorization of 15601 in exponential form is:
15601 = 156011
Prime Factorization of 15605
Prime factors of 15605 are 5, 3121. Prime factorization of 15605 in exponential form is:
15605 = 51 × 31211
Now multiplying the highest exponent prime factors to calculate the LCM of 15601 and 15605.
LCM(15601,15605) = 156011 × 51 × 31211
LCM(15601,15605) = 243453605
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