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What is the Least Common Multiple of 88927 and 88935?

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 88927 and 88935 is 7908722745.

LCM(88927,88935) = 7908722745

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Least Common Multiple of 88927 and 88935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88927 and 88935, than apply into the LCM equation.

GCF(88927,88935) = 1
LCM(88927,88935) = ( 88927 × 88935) / 1
LCM(88927,88935) = 7908722745 / 1
LCM(88927,88935) = 7908722745

Least Common Multiple (LCM) of 88927 and 88935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88927 and 88935. First we will calculate the prime factors of 88927 and 88935.

Prime Factorization of 88927

Prime factors of 88927 are 17, 5231. Prime factorization of 88927 in exponential form is:

88927 = 171 × 52311

Prime Factorization of 88935

Prime factors of 88935 are 3, 5, 7, 11. Prime factorization of 88935 in exponential form is:

88935 = 31 × 51 × 72 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 88927 and 88935.

LCM(88927,88935) = 171 × 52311 × 31 × 51 × 72 × 112
LCM(88927,88935) = 7908722745