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What is the Least Common Multiple of 4435 and 4443?

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 4435 and 4443 is 19704705.

LCM(4435,4443) = 19704705

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Least Common Multiple of 4435 and 4443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4435 and 4443, than apply into the LCM equation.

GCF(4435,4443) = 1
LCM(4435,4443) = ( 4435 × 4443) / 1
LCM(4435,4443) = 19704705 / 1
LCM(4435,4443) = 19704705

Least Common Multiple (LCM) of 4435 and 4443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4435 and 4443. First we will calculate the prime factors of 4435 and 4443.

Prime Factorization of 4435

Prime factors of 4435 are 5, 887. Prime factorization of 4435 in exponential form is:

4435 = 51 × 8871

Prime Factorization of 4443

Prime factors of 4443 are 3, 1481. Prime factorization of 4443 in exponential form is:

4443 = 31 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 4435 and 4443.

LCM(4435,4443) = 51 × 8871 × 31 × 14811
LCM(4435,4443) = 19704705