What is the Least Common Multiple of 8773 and 8787?
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 8773 and 8787 is 77088351.
LCM(8773,8787) = 77088351
Least Common Multiple of 8773 and 8787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8773 and 8787, than apply into the LCM equation.
GCF(8773,8787) = 1
LCM(8773,8787) = ( 8773 × 8787) / 1
LCM(8773,8787) = 77088351 / 1
LCM(8773,8787) = 77088351
Least Common Multiple (LCM) of 8773 and 8787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8773 and 8787. First we will calculate the prime factors of 8773 and 8787.
Prime Factorization of 8773
Prime factors of 8773 are 31, 283. Prime factorization of 8773 in exponential form is:
8773 = 311 × 2831
Prime Factorization of 8787
Prime factors of 8787 are 3, 29, 101. Prime factorization of 8787 in exponential form is:
8787 = 31 × 291 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8773 and 8787.
LCM(8773,8787) = 311 × 2831 × 31 × 291 × 1011
LCM(8773,8787) = 77088351
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