What is the Least Common Multiple of 561 and 575?
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 561 and 575 is 322575.
LCM(561,575) = 322575
Least Common Multiple of 561 and 575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 561 and 575, than apply into the LCM equation.
GCF(561,575) = 1
LCM(561,575) = ( 561 × 575) / 1
LCM(561,575) = 322575 / 1
LCM(561,575) = 322575
Least Common Multiple (LCM) of 561 and 575 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 575. First we will calculate the prime factors of 561 and 575.
Prime Factorization of 561
Prime factors of 561 are 3, 11, 17. Prime factorization of 561 in exponential form is:
561 = 31 × 111 × 171
Prime Factorization of 575
Prime factors of 575 are 5, 23. Prime factorization of 575 in exponential form is:
575 = 52 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 575.
LCM(561,575) = 31 × 111 × 171 × 52 × 231
LCM(561,575) = 322575
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Related Least Common Multiples of 575
- LCM of 575 and 579
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- LCM of 575 and 581
- LCM of 575 and 582
- LCM of 575 and 583
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- LCM of 575 and 592
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