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What is the Least Common Multiple of 4397 and 4407?

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 4407 is 19377579.

LCM(4397,4407) = 19377579

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Least Common Multiple of 4397 and 4407 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 4407, than apply into the LCM equation.

GCF(4397,4407) = 1
LCM(4397,4407) = ( 4397 × 4407) / 1
LCM(4397,4407) = 19377579 / 1
LCM(4397,4407) = 19377579

Least Common Multiple (LCM) of 4397 and 4407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4397 and 4407. First we will calculate the prime factors of 4397 and 4407.

Prime Factorization of 4397

Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:

4397 = 43971

Prime Factorization of 4407

Prime factors of 4407 are 3, 13, 113. Prime factorization of 4407 in exponential form is:

4407 = 31 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4397 and 4407.

LCM(4397,4407) = 43971 × 31 × 131 × 1131
LCM(4397,4407) = 19377579