What is the Least Common Multiple of 8526 and 8530?
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 8526 and 8530 is 36363390.
LCM(8526,8530) = 36363390
Least Common Multiple of 8526 and 8530 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8526 and 8530, than apply into the LCM equation.
GCF(8526,8530) = 2
LCM(8526,8530) = ( 8526 × 8530) / 2
LCM(8526,8530) = 72726780 / 2
LCM(8526,8530) = 36363390
Least Common Multiple (LCM) of 8526 and 8530 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8526 and 8530. First we will calculate the prime factors of 8526 and 8530.
Prime Factorization of 8526
Prime factors of 8526 are 2, 3, 7, 29. Prime factorization of 8526 in exponential form is:
8526 = 21 × 31 × 72 × 291
Prime Factorization of 8530
Prime factors of 8530 are 2, 5, 853. Prime factorization of 8530 in exponential form is:
8530 = 21 × 51 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 8526 and 8530.
LCM(8526,8530) = 21 × 31 × 72 × 291 × 51 × 8531
LCM(8526,8530) = 36363390
Related Least Common Multiples of 8526
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Related Least Common Multiples of 8530
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- LCM of 8530 and 8544
- LCM of 8530 and 8545
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