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What is the Least Common Multiple of 44493 and 44497?

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 44493 and 44497 is 1979805021.

LCM(44493,44497) = 1979805021

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Least Common Multiple of 44493 and 44497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44493 and 44497, than apply into the LCM equation.

GCF(44493,44497) = 1
LCM(44493,44497) = ( 44493 × 44497) / 1
LCM(44493,44497) = 1979805021 / 1
LCM(44493,44497) = 1979805021

Least Common Multiple (LCM) of 44493 and 44497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44493 and 44497. First we will calculate the prime factors of 44493 and 44497.

Prime Factorization of 44493

Prime factors of 44493 are 3, 14831. Prime factorization of 44493 in exponential form is:

44493 = 31 × 148311

Prime Factorization of 44497

Prime factors of 44497 are 44497. Prime factorization of 44497 in exponential form is:

44497 = 444971

Now multiplying the highest exponent prime factors to calculate the LCM of 44493 and 44497.

LCM(44493,44497) = 31 × 148311 × 444971
LCM(44493,44497) = 1979805021