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What is the Least Common Multiple of 88887 and 88906?

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 88887 and 88906 is 7902587622.

LCM(88887,88906) = 7902587622

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Least Common Multiple of 88887 and 88906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88887 and 88906, than apply into the LCM equation.

GCF(88887,88906) = 1
LCM(88887,88906) = ( 88887 × 88906) / 1
LCM(88887,88906) = 7902587622 / 1
LCM(88887,88906) = 7902587622

Least Common Multiple (LCM) of 88887 and 88906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88887 and 88906. First we will calculate the prime factors of 88887 and 88906.

Prime Factorization of 88887

Prime factors of 88887 are 3, 29629. Prime factorization of 88887 in exponential form is:

88887 = 31 × 296291

Prime Factorization of 88906

Prime factors of 88906 are 2, 44453. Prime factorization of 88906 in exponential form is:

88906 = 21 × 444531

Now multiplying the highest exponent prime factors to calculate the LCM of 88887 and 88906.

LCM(88887,88906) = 31 × 296291 × 21 × 444531
LCM(88887,88906) = 7902587622