What is the Least Common Multiple of 8787 and 8793?
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 8787 and 8793 is 25754697.
LCM(8787,8793) = 25754697
Least Common Multiple of 8787 and 8793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8787 and 8793, than apply into the LCM equation.
GCF(8787,8793) = 3
LCM(8787,8793) = ( 8787 × 8793) / 3
LCM(8787,8793) = 77264091 / 3
LCM(8787,8793) = 25754697
Least Common Multiple (LCM) of 8787 and 8793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8787 and 8793. First we will calculate the prime factors of 8787 and 8793.
Prime Factorization of 8787
Prime factors of 8787 are 3, 29, 101. Prime factorization of 8787 in exponential form is:
8787 = 31 × 291 × 1011
Prime Factorization of 8793
Prime factors of 8793 are 3, 977. Prime factorization of 8793 in exponential form is:
8793 = 32 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 8787 and 8793.
LCM(8787,8793) = 32 × 291 × 1011 × 9771
LCM(8787,8793) = 25754697
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