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What is the Least Common Multiple of 88917 and 88934?

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 88917 and 88934 is 7907744478.

LCM(88917,88934) = 7907744478

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Least Common Multiple of 88917 and 88934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88917 and 88934, than apply into the LCM equation.

GCF(88917,88934) = 1
LCM(88917,88934) = ( 88917 × 88934) / 1
LCM(88917,88934) = 7907744478 / 1
LCM(88917,88934) = 7907744478

Least Common Multiple (LCM) of 88917 and 88934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88917 and 88934. First we will calculate the prime factors of 88917 and 88934.

Prime Factorization of 88917

Prime factors of 88917 are 3, 107, 277. Prime factorization of 88917 in exponential form is:

88917 = 31 × 1071 × 2771

Prime Factorization of 88934

Prime factors of 88934 are 2, 53, 839. Prime factorization of 88934 in exponential form is:

88934 = 21 × 531 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 88917 and 88934.

LCM(88917,88934) = 31 × 1071 × 2771 × 21 × 531 × 8391
LCM(88917,88934) = 7907744478