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What is the Least Common Multiple of 88828 and 88847?

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 88828 and 88847 is 7892101316.

LCM(88828,88847) = 7892101316

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Least Common Multiple of 88828 and 88847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88828 and 88847, than apply into the LCM equation.

GCF(88828,88847) = 1
LCM(88828,88847) = ( 88828 × 88847) / 1
LCM(88828,88847) = 7892101316 / 1
LCM(88828,88847) = 7892101316

Least Common Multiple (LCM) of 88828 and 88847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88828 and 88847. First we will calculate the prime factors of 88828 and 88847.

Prime Factorization of 88828

Prime factors of 88828 are 2, 53, 419. Prime factorization of 88828 in exponential form is:

88828 = 22 × 531 × 4191

Prime Factorization of 88847

Prime factors of 88847 are 11, 41, 197. Prime factorization of 88847 in exponential form is:

88847 = 111 × 411 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 88828 and 88847.

LCM(88828,88847) = 22 × 531 × 4191 × 111 × 411 × 1971
LCM(88828,88847) = 7892101316