What is the Least Common Multiple of 561 and 579?
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 579 is 108273.
LCM(561,579) = 108273
Least Common Multiple of 561 and 579 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 579, than apply into the LCM equation.
GCF(561,579) = 3
LCM(561,579) = ( 561 × 579) / 3
LCM(561,579) = 324819 / 3
LCM(561,579) = 108273
Least Common Multiple (LCM) of 561 and 579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 561 and 579. First we will calculate the prime factors of 561 and 579.
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 579
Prime factors of 579 are 3, 193. Prime factorization of 579 in exponential form is:
579 = 31 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 561 and 579.
LCM(561,579) = 31 × 111 × 171 × 1931
LCM(561,579) = 108273
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