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What is the Least Common Multiple of 44405 and 44422?

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 44405 and 44422 is 1972558910.

LCM(44405,44422) = 1972558910

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Least Common Multiple of 44405 and 44422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44405 and 44422, than apply into the LCM equation.

GCF(44405,44422) = 1
LCM(44405,44422) = ( 44405 × 44422) / 1
LCM(44405,44422) = 1972558910 / 1
LCM(44405,44422) = 1972558910

Least Common Multiple (LCM) of 44405 and 44422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44405 and 44422. First we will calculate the prime factors of 44405 and 44422.

Prime Factorization of 44405

Prime factors of 44405 are 5, 83, 107. Prime factorization of 44405 in exponential form is:

44405 = 51 × 831 × 1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 44405 and 44422.

LCM(44405,44422) = 51 × 831 × 1071 × 21 × 71 × 191 × 1671
LCM(44405,44422) = 1972558910