What is the Least Common Multiple of 4393 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 4393 and 4398 is 19320414.
LCM(4393,4398) = 19320414
Least Common Multiple of 4393 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 4393 and 4398, than apply into the LCM equation.
GCF(4393,4398) = 1
LCM(4393,4398) = ( 4393 × 4398) / 1
LCM(4393,4398) = 19320414 / 1
LCM(4393,4398) = 19320414
Least Common Multiple (LCM) of 4393 and 4398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4393 and 4398. First we will calculate the prime factors of 4393 and 4398.
Prime Factorization of 4393
Prime factors of 4393 are 23, 191. Prime factorization of 4393 in exponential form is:
4393 = 231 × 1911
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 4393 and 4398.
LCM(4393,4398) = 231 × 1911 × 21 × 31 × 7331
LCM(4393,4398) = 19320414
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