What is the Least Common Multiple of 16571 and 16590?
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 16571 and 16590 is 274912890.
LCM(16571,16590) = 274912890
Least Common Multiple of 16571 and 16590 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16571 and 16590, than apply into the LCM equation.
GCF(16571,16590) = 1
LCM(16571,16590) = ( 16571 × 16590) / 1
LCM(16571,16590) = 274912890 / 1
LCM(16571,16590) = 274912890
Least Common Multiple (LCM) of 16571 and 16590 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16571 and 16590. First we will calculate the prime factors of 16571 and 16590.
Prime Factorization of 16571
Prime factors of 16571 are 73, 227. Prime factorization of 16571 in exponential form is:
16571 = 731 × 2271
Prime Factorization of 16590
Prime factors of 16590 are 2, 3, 5, 7, 79. Prime factorization of 16590 in exponential form is:
16590 = 21 × 31 × 51 × 71 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 16571 and 16590.
LCM(16571,16590) = 731 × 2271 × 21 × 31 × 51 × 71 × 791
LCM(16571,16590) = 274912890
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