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What is the Least Common Multiple of 4423 and 4432?

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 4423 and 4432 is 19602736.

LCM(4423,4432) = 19602736

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Least Common Multiple of 4423 and 4432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4423 and 4432, than apply into the LCM equation.

GCF(4423,4432) = 1
LCM(4423,4432) = ( 4423 × 4432) / 1
LCM(4423,4432) = 19602736 / 1
LCM(4423,4432) = 19602736

Least Common Multiple (LCM) of 4423 and 4432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4423 and 4432. First we will calculate the prime factors of 4423 and 4432.

Prime Factorization of 4423

Prime factors of 4423 are 4423. Prime factorization of 4423 in exponential form is:

4423 = 44231

Prime Factorization of 4432

Prime factors of 4432 are 2, 277. Prime factorization of 4432 in exponential form is:

4432 = 24 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4423 and 4432.

LCM(4423,4432) = 44231 × 24 × 2771
LCM(4423,4432) = 19602736