What is the Least Common Multiple of 529 and 545?
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 529 and 545 is 288305.
LCM(529,545) = 288305
Least Common Multiple of 529 and 545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 529 and 545, than apply into the LCM equation.
GCF(529,545) = 1
LCM(529,545) = ( 529 × 545) / 1
LCM(529,545) = 288305 / 1
LCM(529,545) = 288305
Least Common Multiple (LCM) of 529 and 545 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 545. First we will calculate the prime factors of 529 and 545.
Prime Factorization of 529
Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:
529 = 232
Prime Factorization of 545
Prime factors of 545 are 5, 109. Prime factorization of 545 in exponential form is:
545 = 51 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 529 and 545.
LCM(529,545) = 232 × 51 × 1091
LCM(529,545) = 288305
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