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What is the Least Common Multiple of 44143 and 44159?

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 44143 and 44159 is 1949310737.

LCM(44143,44159) = 1949310737

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Least Common Multiple of 44143 and 44159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44143 and 44159, than apply into the LCM equation.

GCF(44143,44159) = 1
LCM(44143,44159) = ( 44143 × 44159) / 1
LCM(44143,44159) = 1949310737 / 1
LCM(44143,44159) = 1949310737

Least Common Multiple (LCM) of 44143 and 44159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44143 and 44159. First we will calculate the prime factors of 44143 and 44159.

Prime Factorization of 44143

Prime factors of 44143 are 11, 4013. Prime factorization of 44143 in exponential form is:

44143 = 111 × 40131

Prime Factorization of 44159

Prime factors of 44159 are 44159. Prime factorization of 44159 in exponential form is:

44159 = 441591

Now multiplying the highest exponent prime factors to calculate the LCM of 44143 and 44159.

LCM(44143,44159) = 111 × 40131 × 441591
LCM(44143,44159) = 1949310737