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What is the Least Common Multiple of 44130 and 44137?

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 44130 and 44137 is 1947765810.

LCM(44130,44137) = 1947765810

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Least Common Multiple of 44130 and 44137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44130 and 44137, than apply into the LCM equation.

GCF(44130,44137) = 1
LCM(44130,44137) = ( 44130 × 44137) / 1
LCM(44130,44137) = 1947765810 / 1
LCM(44130,44137) = 1947765810

Least Common Multiple (LCM) of 44130 and 44137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44130 and 44137. First we will calculate the prime factors of 44130 and 44137.

Prime Factorization of 44130

Prime factors of 44130 are 2, 3, 5, 1471. Prime factorization of 44130 in exponential form is:

44130 = 21 × 31 × 51 × 14711

Prime Factorization of 44137

Prime factors of 44137 are 19, 23, 101. Prime factorization of 44137 in exponential form is:

44137 = 191 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 44130 and 44137.

LCM(44130,44137) = 21 × 31 × 51 × 14711 × 191 × 231 × 1011
LCM(44130,44137) = 1947765810