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What is the Least Common Multiple of 88840 and 88853?

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 88840 and 88853 is 7893700520.

LCM(88840,88853) = 7893700520

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Least Common Multiple of 88840 and 88853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88840 and 88853, than apply into the LCM equation.

GCF(88840,88853) = 1
LCM(88840,88853) = ( 88840 × 88853) / 1
LCM(88840,88853) = 7893700520 / 1
LCM(88840,88853) = 7893700520

Least Common Multiple (LCM) of 88840 and 88853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88840 and 88853. First we will calculate the prime factors of 88840 and 88853.

Prime Factorization of 88840

Prime factors of 88840 are 2, 5, 2221. Prime factorization of 88840 in exponential form is:

88840 = 23 × 51 × 22211

Prime Factorization of 88853

Prime factors of 88853 are 88853. Prime factorization of 88853 in exponential form is:

88853 = 888531

Now multiplying the highest exponent prime factors to calculate the LCM of 88840 and 88853.

LCM(88840,88853) = 23 × 51 × 22211 × 888531
LCM(88840,88853) = 7893700520