What is the Least Common Multiple of 8393 and 8397?
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 8393 and 8397 is 70476021.
LCM(8393,8397) = 70476021
Least Common Multiple of 8393 and 8397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8393 and 8397, than apply into the LCM equation.
GCF(8393,8397) = 1
LCM(8393,8397) = ( 8393 × 8397) / 1
LCM(8393,8397) = 70476021 / 1
LCM(8393,8397) = 70476021
Least Common Multiple (LCM) of 8393 and 8397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8393 and 8397. First we will calculate the prime factors of 8393 and 8397.
Prime Factorization of 8393
Prime factors of 8393 are 7, 11, 109. Prime factorization of 8393 in exponential form is:
8393 = 71 × 111 × 1091
Prime Factorization of 8397
Prime factors of 8397 are 3, 311. Prime factorization of 8397 in exponential form is:
8397 = 33 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 8393 and 8397.
LCM(8393,8397) = 71 × 111 × 1091 × 33 × 3111
LCM(8393,8397) = 70476021
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