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What is the Least Common Multiple of 44852 and 44869?

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 44852 and 44869 is 2012464388.

LCM(44852,44869) = 2012464388

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Least Common Multiple of 44852 and 44869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44852 and 44869, than apply into the LCM equation.

GCF(44852,44869) = 1
LCM(44852,44869) = ( 44852 × 44869) / 1
LCM(44852,44869) = 2012464388 / 1
LCM(44852,44869) = 2012464388

Least Common Multiple (LCM) of 44852 and 44869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44852 and 44869. First we will calculate the prime factors of 44852 and 44869.

Prime Factorization of 44852

Prime factors of 44852 are 2, 11213. Prime factorization of 44852 in exponential form is:

44852 = 22 × 112131

Prime Factorization of 44869

Prime factors of 44869 are 11, 4079. Prime factorization of 44869 in exponential form is:

44869 = 111 × 40791

Now multiplying the highest exponent prime factors to calculate the LCM of 44852 and 44869.

LCM(44852,44869) = 22 × 112131 × 111 × 40791
LCM(44852,44869) = 2012464388