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What is the Least Common Multiple of 44015 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 44015 and 44034 is 1938156510.

LCM(44015,44034) = 1938156510

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Least Common Multiple of 44015 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 44015 and 44034, than apply into the LCM equation.

GCF(44015,44034) = 1
LCM(44015,44034) = ( 44015 × 44034) / 1
LCM(44015,44034) = 1938156510 / 1
LCM(44015,44034) = 1938156510

Least Common Multiple (LCM) of 44015 and 44034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44015 and 44034. First we will calculate the prime factors of 44015 and 44034.

Prime Factorization of 44015

Prime factors of 44015 are 5, 8803. Prime factorization of 44015 in exponential form is:

44015 = 51 × 88031

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 44015 and 44034.

LCM(44015,44034) = 51 × 88031 × 21 × 31 × 411 × 1791
LCM(44015,44034) = 1938156510