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What is the Least Common Multiple of 4409 and 4416?

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 4409 and 4416 is 19470144.

LCM(4409,4416) = 19470144

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Least Common Multiple of 4409 and 4416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4409 and 4416, than apply into the LCM equation.

GCF(4409,4416) = 1
LCM(4409,4416) = ( 4409 × 4416) / 1
LCM(4409,4416) = 19470144 / 1
LCM(4409,4416) = 19470144

Least Common Multiple (LCM) of 4409 and 4416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4409 and 4416. First we will calculate the prime factors of 4409 and 4416.

Prime Factorization of 4409

Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:

4409 = 44091

Prime Factorization of 4416

Prime factors of 4416 are 2, 3, 23. Prime factorization of 4416 in exponential form is:

4416 = 26 × 31 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4409 and 4416.

LCM(4409,4416) = 44091 × 26 × 31 × 231
LCM(4409,4416) = 19470144