What is the Least Common Multiple of 8568 and 8587?
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 8568 and 8587 is 73573416.
LCM(8568,8587) = 73573416
Least Common Multiple of 8568 and 8587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8568 and 8587, than apply into the LCM equation.
GCF(8568,8587) = 1
LCM(8568,8587) = ( 8568 × 8587) / 1
LCM(8568,8587) = 73573416 / 1
LCM(8568,8587) = 73573416
Least Common Multiple (LCM) of 8568 and 8587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8568 and 8587. First we will calculate the prime factors of 8568 and 8587.
Prime Factorization of 8568
Prime factors of 8568 are 2, 3, 7, 17. Prime factorization of 8568 in exponential form is:
8568 = 23 × 32 × 71 × 171
Prime Factorization of 8587
Prime factors of 8587 are 31, 277. Prime factorization of 8587 in exponential form is:
8587 = 311 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8568 and 8587.
LCM(8568,8587) = 23 × 32 × 71 × 171 × 311 × 2771
LCM(8568,8587) = 73573416
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