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What is the Least Common Multiple of 44242 and 44261?

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 44242 and 44261 is 1958195162.

LCM(44242,44261) = 1958195162

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Least Common Multiple of 44242 and 44261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44242 and 44261, than apply into the LCM equation.

GCF(44242,44261) = 1
LCM(44242,44261) = ( 44242 × 44261) / 1
LCM(44242,44261) = 1958195162 / 1
LCM(44242,44261) = 1958195162

Least Common Multiple (LCM) of 44242 and 44261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44242 and 44261. First we will calculate the prime factors of 44242 and 44261.

Prime Factorization of 44242

Prime factors of 44242 are 2, 11, 2011. Prime factorization of 44242 in exponential form is:

44242 = 21 × 111 × 20111

Prime Factorization of 44261

Prime factors of 44261 are 7, 6323. Prime factorization of 44261 in exponential form is:

44261 = 71 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 44242 and 44261.

LCM(44242,44261) = 21 × 111 × 20111 × 71 × 63231
LCM(44242,44261) = 1958195162