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What is the Least Common Multiple of 44308 and 44313?

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 44308 and 44313 is 1963420404.

LCM(44308,44313) = 1963420404

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Least Common Multiple of 44308 and 44313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44308 and 44313, than apply into the LCM equation.

GCF(44308,44313) = 1
LCM(44308,44313) = ( 44308 × 44313) / 1
LCM(44308,44313) = 1963420404 / 1
LCM(44308,44313) = 1963420404

Least Common Multiple (LCM) of 44308 and 44313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44308 and 44313. First we will calculate the prime factors of 44308 and 44313.

Prime Factorization of 44308

Prime factors of 44308 are 2, 11, 19, 53. Prime factorization of 44308 in exponential form is:

44308 = 22 × 111 × 191 × 531

Prime Factorization of 44313

Prime factors of 44313 are 3, 14771. Prime factorization of 44313 in exponential form is:

44313 = 31 × 147711

Now multiplying the highest exponent prime factors to calculate the LCM of 44308 and 44313.

LCM(44308,44313) = 22 × 111 × 191 × 531 × 31 × 147711
LCM(44308,44313) = 1963420404