What is the Least Common Multiple of 509 and 523?
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 509 and 523 is 266207.
LCM(509,523) = 266207
Least Common Multiple of 509 and 523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 509 and 523, than apply into the LCM equation.
GCF(509,523) = 1
LCM(509,523) = ( 509 × 523) / 1
LCM(509,523) = 266207 / 1
LCM(509,523) = 266207
Least Common Multiple (LCM) of 509 and 523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 523. First we will calculate the prime factors of 509 and 523.
Prime Factorization of 509
Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:
509 = 5091
Prime Factorization of 523
Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:
523 = 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 509 and 523.
LCM(509,523) = 5091 × 5231
LCM(509,523) = 266207
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