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What is the Least Common Multiple of 88821 and 88835?

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 88821 and 88835 is 7890413535.

LCM(88821,88835) = 7890413535

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Least Common Multiple of 88821 and 88835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88821 and 88835, than apply into the LCM equation.

GCF(88821,88835) = 1
LCM(88821,88835) = ( 88821 × 88835) / 1
LCM(88821,88835) = 7890413535 / 1
LCM(88821,88835) = 7890413535

Least Common Multiple (LCM) of 88821 and 88835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88821 and 88835. First we will calculate the prime factors of 88821 and 88835.

Prime Factorization of 88821

Prime factors of 88821 are 3, 71, 139. Prime factorization of 88821 in exponential form is:

88821 = 32 × 711 × 1391

Prime Factorization of 88835

Prime factors of 88835 are 5, 109, 163. Prime factorization of 88835 in exponential form is:

88835 = 51 × 1091 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 88821 and 88835.

LCM(88821,88835) = 32 × 711 × 1391 × 51 × 1091 × 1631
LCM(88821,88835) = 7890413535