What is the Least Common Multiple of 549 and 569?
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 549 and 569 is 312381.
LCM(549,569) = 312381
Least Common Multiple of 549 and 569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 549 and 569, than apply into the LCM equation.
GCF(549,569) = 1
LCM(549,569) = ( 549 × 569) / 1
LCM(549,569) = 312381 / 1
LCM(549,569) = 312381
Least Common Multiple (LCM) of 549 and 569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 569. First we will calculate the prime factors of 549 and 569.
Prime Factorization of 549
Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:
549 = 32 × 611
Prime Factorization of 569
Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:
569 = 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 569.
LCM(549,569) = 32 × 611 × 5691
LCM(549,569) = 312381
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