What is the Least Common Multiple of 4397 and 4401?
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 4397 and 4401 is 19351197.
LCM(4397,4401) = 19351197
Least Common Multiple of 4397 and 4401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4397 and 4401, than apply into the LCM equation.
GCF(4397,4401) = 1
LCM(4397,4401) = ( 4397 × 4401) / 1
LCM(4397,4401) = 19351197 / 1
LCM(4397,4401) = 19351197
Least Common Multiple (LCM) of 4397 and 4401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4397 and 4401. First we will calculate the prime factors of 4397 and 4401.
Prime Factorization of 4397
Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:
4397 = 43971
Prime Factorization of 4401
Prime factors of 4401 are 3, 163. Prime factorization of 4401 in exponential form is:
4401 = 33 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 4397 and 4401.
LCM(4397,4401) = 43971 × 33 × 1631
LCM(4397,4401) = 19351197
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