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What is the Least Common Multiple of 8905 and 8923?

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 8905 and 8923 is 79459315.

LCM(8905,8923) = 79459315

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Least Common Multiple of 8905 and 8923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8905 and 8923, than apply into the LCM equation.

GCF(8905,8923) = 1
LCM(8905,8923) = ( 8905 × 8923) / 1
LCM(8905,8923) = 79459315 / 1
LCM(8905,8923) = 79459315

Least Common Multiple (LCM) of 8905 and 8923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8905 and 8923. First we will calculate the prime factors of 8905 and 8923.

Prime Factorization of 8905

Prime factors of 8905 are 5, 13, 137. Prime factorization of 8905 in exponential form is:

8905 = 51 × 131 × 1371

Prime Factorization of 8923

Prime factors of 8923 are 8923. Prime factorization of 8923 in exponential form is:

8923 = 89231

Now multiplying the highest exponent prime factors to calculate the LCM of 8905 and 8923.

LCM(8905,8923) = 51 × 131 × 1371 × 89231
LCM(8905,8923) = 79459315