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What is the Least Common Multiple of 44363 and 44373?

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 44363 and 44373 is 1968519399.

LCM(44363,44373) = 1968519399

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Least Common Multiple of 44363 and 44373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44363 and 44373, than apply into the LCM equation.

GCF(44363,44373) = 1
LCM(44363,44373) = ( 44363 × 44373) / 1
LCM(44363,44373) = 1968519399 / 1
LCM(44363,44373) = 1968519399

Least Common Multiple (LCM) of 44363 and 44373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44363 and 44373. First we will calculate the prime factors of 44363 and 44373.

Prime Factorization of 44363

Prime factors of 44363 are 11, 37, 109. Prime factorization of 44363 in exponential form is:

44363 = 111 × 371 × 1091

Prime Factorization of 44373

Prime factors of 44373 are 3, 7, 2113. Prime factorization of 44373 in exponential form is:

44373 = 31 × 71 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 44363 and 44373.

LCM(44363,44373) = 111 × 371 × 1091 × 31 × 71 × 21131
LCM(44363,44373) = 1968519399