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What is the Least Common Multiple of 30822 and 30841?

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 30822 and 30841 is 950581302.

LCM(30822,30841) = 950581302

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Least Common Multiple of 30822 and 30841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30822 and 30841, than apply into the LCM equation.

GCF(30822,30841) = 1
LCM(30822,30841) = ( 30822 × 30841) / 1
LCM(30822,30841) = 950581302 / 1
LCM(30822,30841) = 950581302

Least Common Multiple (LCM) of 30822 and 30841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30822 and 30841. First we will calculate the prime factors of 30822 and 30841.

Prime Factorization of 30822

Prime factors of 30822 are 2, 3, 11, 467. Prime factorization of 30822 in exponential form is:

30822 = 21 × 31 × 111 × 4671

Prime Factorization of 30841

Prime factors of 30841 are 30841. Prime factorization of 30841 in exponential form is:

30841 = 308411

Now multiplying the highest exponent prime factors to calculate the LCM of 30822 and 30841.

LCM(30822,30841) = 21 × 31 × 111 × 4671 × 308411
LCM(30822,30841) = 950581302