What is the Least Common Multiple of 8843 and 8847?
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 8847 is 78234021.
LCM(8843,8847) = 78234021
Least Common Multiple of 8843 and 8847 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 8847, than apply into the LCM equation.
GCF(8843,8847) = 1
LCM(8843,8847) = ( 8843 × 8847) / 1
LCM(8843,8847) = 78234021 / 1
LCM(8843,8847) = 78234021
Least Common Multiple (LCM) of 8843 and 8847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8843 and 8847. First we will calculate the prime factors of 8843 and 8847.
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 8847
Prime factors of 8847 are 3, 983. Prime factorization of 8847 in exponential form is:
8847 = 32 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 8843 and 8847.
LCM(8843,8847) = 371 × 2391 × 32 × 9831
LCM(8843,8847) = 78234021
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