What is the Least Common Multiple of 561 and 574?
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 574 is 322014.
LCM(561,574) = 322014
Least Common Multiple of 561 and 574 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 574, than apply into the LCM equation.
GCF(561,574) = 1
LCM(561,574) = ( 561 × 574) / 1
LCM(561,574) = 322014 / 1
LCM(561,574) = 322014
Least Common Multiple (LCM) of 561 and 574 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 574. First we will calculate the prime factors of 561 and 574.
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 574
Prime factors of 574 are 2, 7, 41. Prime factorization of 574 in exponential form is:
574 = 21 × 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 574.
LCM(561,574) = 31 × 111 × 171 × 21 × 71 × 411
LCM(561,574) = 322014
Related Least Common Multiples of 561
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- LCM of 561 and 573
- LCM of 561 and 574
- LCM of 561 and 575
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Related Least Common Multiples of 574
- LCM of 574 and 578
- LCM of 574 and 579
- LCM of 574 and 580
- LCM of 574 and 581
- LCM of 574 and 582
- LCM of 574 and 583
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- LCM of 574 and 587
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- LCM of 574 and 589
- LCM of 574 and 590
- LCM of 574 and 591
- LCM of 574 and 592
- LCM of 574 and 593
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