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What is the Least Common Multiple of 4428 and 4439?

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 4428 and 4439 is 19655892.

LCM(4428,4439) = 19655892

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Least Common Multiple of 4428 and 4439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4428 and 4439, than apply into the LCM equation.

GCF(4428,4439) = 1
LCM(4428,4439) = ( 4428 × 4439) / 1
LCM(4428,4439) = 19655892 / 1
LCM(4428,4439) = 19655892

Least Common Multiple (LCM) of 4428 and 4439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4439. First we will calculate the prime factors of 4428 and 4439.

Prime Factorization of 4428

Prime factors of 4428 are 2, 3, 41. Prime factorization of 4428 in exponential form is:

4428 = 22 × 33 × 411

Prime Factorization of 4439

Prime factors of 4439 are 23, 193. Prime factorization of 4439 in exponential form is:

4439 = 231 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4439.

LCM(4428,4439) = 22 × 33 × 411 × 231 × 1931
LCM(4428,4439) = 19655892