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What is the Least Common Multiple of 88843 and 88850?

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 88843 and 88850 is 7893700550.

LCM(88843,88850) = 7893700550

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Least Common Multiple of 88843 and 88850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88843 and 88850, than apply into the LCM equation.

GCF(88843,88850) = 1
LCM(88843,88850) = ( 88843 × 88850) / 1
LCM(88843,88850) = 7893700550 / 1
LCM(88843,88850) = 7893700550

Least Common Multiple (LCM) of 88843 and 88850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88843 and 88850. First we will calculate the prime factors of 88843 and 88850.

Prime Factorization of 88843

Prime factors of 88843 are 88843. Prime factorization of 88843 in exponential form is:

88843 = 888431

Prime Factorization of 88850

Prime factors of 88850 are 2, 5, 1777. Prime factorization of 88850 in exponential form is:

88850 = 21 × 52 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 88843 and 88850.

LCM(88843,88850) = 888431 × 21 × 52 × 17771
LCM(88843,88850) = 7893700550