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What is the Least Common Multiple of 44129 and 44138?

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 44129 and 44138 is 1947765802.

LCM(44129,44138) = 1947765802

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Least Common Multiple of 44129 and 44138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44129 and 44138, than apply into the LCM equation.

GCF(44129,44138) = 1
LCM(44129,44138) = ( 44129 × 44138) / 1
LCM(44129,44138) = 1947765802 / 1
LCM(44129,44138) = 1947765802

Least Common Multiple (LCM) of 44129 and 44138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44129 and 44138. First we will calculate the prime factors of 44129 and 44138.

Prime Factorization of 44129

Prime factors of 44129 are 44129. Prime factorization of 44129 in exponential form is:

44129 = 441291

Prime Factorization of 44138

Prime factors of 44138 are 2, 29, 761. Prime factorization of 44138 in exponential form is:

44138 = 21 × 291 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 44129 and 44138.

LCM(44129,44138) = 441291 × 21 × 291 × 7611
LCM(44129,44138) = 1947765802