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What is the Least Common Multiple of 8833 and 8851?

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 8833 and 8851 is 78180883.

LCM(8833,8851) = 78180883

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Least Common Multiple of 8833 and 8851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8833 and 8851, than apply into the LCM equation.

GCF(8833,8851) = 1
LCM(8833,8851) = ( 8833 × 8851) / 1
LCM(8833,8851) = 78180883 / 1
LCM(8833,8851) = 78180883

Least Common Multiple (LCM) of 8833 and 8851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8833 and 8851. First we will calculate the prime factors of 8833 and 8851.

Prime Factorization of 8833

Prime factors of 8833 are 11, 73. Prime factorization of 8833 in exponential form is:

8833 = 112 × 731

Prime Factorization of 8851

Prime factors of 8851 are 53, 167. Prime factorization of 8851 in exponential form is:

8851 = 531 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8833 and 8851.

LCM(8833,8851) = 112 × 731 × 531 × 1671
LCM(8833,8851) = 78180883