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What is the Least Common Multiple of 44409 and 44416?

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 44409 and 44416 is 1972470144.

LCM(44409,44416) = 1972470144

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Least Common Multiple of 44409 and 44416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44409 and 44416, than apply into the LCM equation.

GCF(44409,44416) = 1
LCM(44409,44416) = ( 44409 × 44416) / 1
LCM(44409,44416) = 1972470144 / 1
LCM(44409,44416) = 1972470144

Least Common Multiple (LCM) of 44409 and 44416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44409 and 44416. First we will calculate the prime factors of 44409 and 44416.

Prime Factorization of 44409

Prime factors of 44409 are 3, 113, 131. Prime factorization of 44409 in exponential form is:

44409 = 31 × 1131 × 1311

Prime Factorization of 44416

Prime factors of 44416 are 2, 347. Prime factorization of 44416 in exponential form is:

44416 = 27 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 44409 and 44416.

LCM(44409,44416) = 31 × 1131 × 1311 × 27 × 3471
LCM(44409,44416) = 1972470144