What is the Least Common Multiple of 18550 and 18561?
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 18550 and 18561 is 344306550.
LCM(18550,18561) = 344306550
Least Common Multiple of 18550 and 18561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18550 and 18561, than apply into the LCM equation.
GCF(18550,18561) = 1
LCM(18550,18561) = ( 18550 × 18561) / 1
LCM(18550,18561) = 344306550 / 1
LCM(18550,18561) = 344306550
Least Common Multiple (LCM) of 18550 and 18561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18550 and 18561. First we will calculate the prime factors of 18550 and 18561.
Prime Factorization of 18550
Prime factors of 18550 are 2, 5, 7, 53. Prime factorization of 18550 in exponential form is:
18550 = 21 × 52 × 71 × 531
Prime Factorization of 18561
Prime factors of 18561 are 3, 23, 269. Prime factorization of 18561 in exponential form is:
18561 = 31 × 231 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 18550 and 18561.
LCM(18550,18561) = 21 × 52 × 71 × 531 × 31 × 231 × 2691
LCM(18550,18561) = 344306550
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