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What is the Least Common Multiple of 44018 and 44034?

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 44018 and 44034 is 969144306.

LCM(44018,44034) = 969144306

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Least Common Multiple of 44018 and 44034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44018 and 44034, than apply into the LCM equation.

GCF(44018,44034) = 2
LCM(44018,44034) = ( 44018 × 44034) / 2
LCM(44018,44034) = 1938288612 / 2
LCM(44018,44034) = 969144306

Least Common Multiple (LCM) of 44018 and 44034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44018 and 44034. First we will calculate the prime factors of 44018 and 44034.

Prime Factorization of 44018

Prime factors of 44018 are 2, 13, 1693. Prime factorization of 44018 in exponential form is:

44018 = 21 × 131 × 16931

Prime Factorization of 44034

Prime factors of 44034 are 2, 3, 41, 179. Prime factorization of 44034 in exponential form is:

44034 = 21 × 31 × 411 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 44018 and 44034.

LCM(44018,44034) = 21 × 131 × 16931 × 31 × 411 × 1791
LCM(44018,44034) = 969144306