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What is the Least Common Multiple of 88846 and 88851?

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 88846 and 88851 is 7894055946.

LCM(88846,88851) = 7894055946

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Least Common Multiple of 88846 and 88851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88846 and 88851, than apply into the LCM equation.

GCF(88846,88851) = 1
LCM(88846,88851) = ( 88846 × 88851) / 1
LCM(88846,88851) = 7894055946 / 1
LCM(88846,88851) = 7894055946

Least Common Multiple (LCM) of 88846 and 88851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88846 and 88851. First we will calculate the prime factors of 88846 and 88851.

Prime Factorization of 88846

Prime factors of 88846 are 2, 31, 1433. Prime factorization of 88846 in exponential form is:

88846 = 21 × 311 × 14331

Prime Factorization of 88851

Prime factors of 88851 are 3, 7, 4231. Prime factorization of 88851 in exponential form is:

88851 = 31 × 71 × 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 88846 and 88851.

LCM(88846,88851) = 21 × 311 × 14331 × 31 × 71 × 42311
LCM(88846,88851) = 7894055946