What is the Least Common Multiple of 8885 and 8897?
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 8885 and 8897 is 79049845.
LCM(8885,8897) = 79049845
Least Common Multiple of 8885 and 8897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8885 and 8897, than apply into the LCM equation.
GCF(8885,8897) = 1
LCM(8885,8897) = ( 8885 × 8897) / 1
LCM(8885,8897) = 79049845 / 1
LCM(8885,8897) = 79049845
Least Common Multiple (LCM) of 8885 and 8897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8885 and 8897. First we will calculate the prime factors of 8885 and 8897.
Prime Factorization of 8885
Prime factors of 8885 are 5, 1777. Prime factorization of 8885 in exponential form is:
8885 = 51 × 17771
Prime Factorization of 8897
Prime factors of 8897 are 7, 31, 41. Prime factorization of 8897 in exponential form is:
8897 = 71 × 311 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 8885 and 8897.
LCM(8885,8897) = 51 × 17771 × 71 × 311 × 411
LCM(8885,8897) = 79049845
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