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What is the Least Common Multiple of 44618 and 44631?

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 44618 and 44631 is 1991345958.

LCM(44618,44631) = 1991345958

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Least Common Multiple of 44618 and 44631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44618 and 44631, than apply into the LCM equation.

GCF(44618,44631) = 1
LCM(44618,44631) = ( 44618 × 44631) / 1
LCM(44618,44631) = 1991345958 / 1
LCM(44618,44631) = 1991345958

Least Common Multiple (LCM) of 44618 and 44631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44618 and 44631. First we will calculate the prime factors of 44618 and 44631.

Prime Factorization of 44618

Prime factors of 44618 are 2, 7, 3187. Prime factorization of 44618 in exponential form is:

44618 = 21 × 71 × 31871

Prime Factorization of 44631

Prime factors of 44631 are 3, 19, 29. Prime factorization of 44631 in exponential form is:

44631 = 34 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 44618 and 44631.

LCM(44618,44631) = 21 × 71 × 31871 × 34 × 191 × 291
LCM(44618,44631) = 1991345958