What is the Least Common Multiple of 4394 and 4398?
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 4394 and 4398 is 9662406.
LCM(4394,4398) = 9662406
Least Common Multiple of 4394 and 4398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4394 and 4398, than apply into the LCM equation.
GCF(4394,4398) = 2
LCM(4394,4398) = ( 4394 × 4398) / 2
LCM(4394,4398) = 19324812 / 2
LCM(4394,4398) = 9662406
Least Common Multiple (LCM) of 4394 and 4398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4394 and 4398. First we will calculate the prime factors of 4394 and 4398.
Prime Factorization of 4394
Prime factors of 4394 are 2, 13. Prime factorization of 4394 in exponential form is:
4394 = 21 × 133
Prime Factorization of 4398
Prime factors of 4398 are 2, 3, 733. Prime factorization of 4398 in exponential form is:
4398 = 21 × 31 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 4394 and 4398.
LCM(4394,4398) = 21 × 133 × 31 × 7331
LCM(4394,4398) = 9662406
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