What is the Least Common Multiple of 8843 and 8863?
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 8843 and 8863 is 78375509.
LCM(8843,8863) = 78375509
Least Common Multiple of 8843 and 8863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8843 and 8863, than apply into the LCM equation.
GCF(8843,8863) = 1
LCM(8843,8863) = ( 8843 × 8863) / 1
LCM(8843,8863) = 78375509 / 1
LCM(8843,8863) = 78375509
Least Common Multiple (LCM) of 8843 and 8863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8843 and 8863. First we will calculate the prime factors of 8843 and 8863.
Prime Factorization of 8843
Prime factors of 8843 are 37, 239. Prime factorization of 8843 in exponential form is:
8843 = 371 × 2391
Prime Factorization of 8863
Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:
8863 = 88631
Now multiplying the highest exponent prime factors to calculate the LCM of 8843 and 8863.
LCM(8843,8863) = 371 × 2391 × 88631
LCM(8843,8863) = 78375509
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