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What is the Least Common Multiple of 44618 and 44622?

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 44622 is 995472198.

LCM(44618,44622) = 995472198

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Least Common Multiple of 44618 and 44622 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 44622, than apply into the LCM equation.

GCF(44618,44622) = 2
LCM(44618,44622) = ( 44618 × 44622) / 2
LCM(44618,44622) = 1990944396 / 2
LCM(44618,44622) = 995472198

Least Common Multiple (LCM) of 44618 and 44622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44618 and 44622. First we will calculate the prime factors of 44618 and 44622.

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 44622

Prime factors of 44622 are 2, 3, 37, 67. Prime factorization of 44622 in exponential form is:

44622 = 21 × 32 × 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 44618 and 44622.

LCM(44618,44622) = 21 × 71 × 31871 × 32 × 371 × 671
LCM(44618,44622) = 995472198