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What is the Least Common Multiple of 88823 and 88827?

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 88823 and 88827 is 7889880621.

LCM(88823,88827) = 7889880621

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Least Common Multiple of 88823 and 88827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88823 and 88827, than apply into the LCM equation.

GCF(88823,88827) = 1
LCM(88823,88827) = ( 88823 × 88827) / 1
LCM(88823,88827) = 7889880621 / 1
LCM(88823,88827) = 7889880621

Least Common Multiple (LCM) of 88823 and 88827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88823 and 88827. First we will calculate the prime factors of 88823 and 88827.

Prime Factorization of 88823

Prime factors of 88823 are 7, 12689. Prime factorization of 88823 in exponential form is:

88823 = 71 × 126891

Prime Factorization of 88827

Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:

88827 = 31 × 291 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 88823 and 88827.

LCM(88823,88827) = 71 × 126891 × 31 × 291 × 10211
LCM(88823,88827) = 7889880621