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What is the Least Common Multiple of 44422 and 44437?

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 44422 and 44437 is 1973980414.

LCM(44422,44437) = 1973980414

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Least Common Multiple of 44422 and 44437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44422 and 44437, than apply into the LCM equation.

GCF(44422,44437) = 1
LCM(44422,44437) = ( 44422 × 44437) / 1
LCM(44422,44437) = 1973980414 / 1
LCM(44422,44437) = 1973980414

Least Common Multiple (LCM) of 44422 and 44437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44422 and 44437. First we will calculate the prime factors of 44422 and 44437.

Prime Factorization of 44422

Prime factors of 44422 are 2, 7, 19, 167. Prime factorization of 44422 in exponential form is:

44422 = 21 × 71 × 191 × 1671

Prime Factorization of 44437

Prime factors of 44437 are 37, 1201. Prime factorization of 44437 in exponential form is:

44437 = 371 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 44422 and 44437.

LCM(44422,44437) = 21 × 71 × 191 × 1671 × 371 × 12011
LCM(44422,44437) = 1973980414