What is the Least Common Multiple of 10822 and 10841?

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 of 10822 and 10841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10822 and 10841, than apply into the LCM equation.

GCF(10822,10841) = 1
LCM(10822,10841) = ( 10822 × 10841) / 1
LCM(10822,10841) = 117321302 / 1
LCM(10822,10841) = 117321302

Least Common Multiple (LCM) of 10822 and 10841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10822 and 10841. First we will calculate the prime factors of 10822 and 10841.

Prime Factorization of 10822

Prime Factorization of 10841

Now multiplying the highest exponent prime factors to calculate the LCM of 10822 and 10841.

LCM(10822,10841) = 2¹ × 7¹ × 773¹ × 37¹ × 293¹
LCM(10822,10841) = 117321302