What is the Least Common Multiple of 517 and 525?
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 517 and 525 is 271425.
LCM(517,525) = 271425
Least Common Multiple of 517 and 525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 517 and 525, than apply into the LCM equation.
GCF(517,525) = 1
LCM(517,525) = ( 517 × 525) / 1
LCM(517,525) = 271425 / 1
LCM(517,525) = 271425
Least Common Multiple (LCM) of 517 and 525 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 525. First we will calculate the prime factors of 517 and 525.
Prime Factorization of 517
Prime factors of 517 are 11, 47. Prime factorization of 517 in exponential form is:
517 = 111 × 471
Prime Factorization of 525
Prime factors of 525 are 3, 5, 7. Prime factorization of 525 in exponential form is:
525 = 31 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 525.
LCM(517,525) = 111 × 471 × 31 × 52 × 71
LCM(517,525) = 271425
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