What is the Least Common Multiple of 561 and 573?
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 573 is 107151.
LCM(561,573) = 107151
Least Common Multiple of 561 and 573 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 573, than apply into the LCM equation.
GCF(561,573) = 3
LCM(561,573) = ( 561 × 573) / 3
LCM(561,573) = 321453 / 3
LCM(561,573) = 107151
Least Common Multiple (LCM) of 561 and 573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 573. First we will calculate the prime factors of 561 and 573.
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 573
Prime factors of 573 are 3, 191. Prime factorization of 573 in exponential form is:
573 = 31 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 573.
LCM(561,573) = 31 × 111 × 171 × 1911
LCM(561,573) = 107151
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