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What is the Least Common Multiple of 44348 and 44358?

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 44348 and 44358 is 983594292.

LCM(44348,44358) = 983594292

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Least Common Multiple of 44348 and 44358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44348 and 44358, than apply into the LCM equation.

GCF(44348,44358) = 2
LCM(44348,44358) = ( 44348 × 44358) / 2
LCM(44348,44358) = 1967188584 / 2
LCM(44348,44358) = 983594292

Least Common Multiple (LCM) of 44348 and 44358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44348 and 44358. First we will calculate the prime factors of 44348 and 44358.

Prime Factorization of 44348

Prime factors of 44348 are 2, 11087. Prime factorization of 44348 in exponential form is:

44348 = 22 × 110871

Prime Factorization of 44358

Prime factors of 44358 are 2, 3, 7393. Prime factorization of 44358 in exponential form is:

44358 = 21 × 31 × 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 44348 and 44358.

LCM(44348,44358) = 22 × 110871 × 31 × 73931
LCM(44348,44358) = 983594292