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What is the Least Common Multiple of 8890 and 8905?

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 8890 and 8905 is 15833090.

LCM(8890,8905) = 15833090

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Least Common Multiple of 8890 and 8905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8890 and 8905, than apply into the LCM equation.

GCF(8890,8905) = 5
LCM(8890,8905) = ( 8890 × 8905) / 5
LCM(8890,8905) = 79165450 / 5
LCM(8890,8905) = 15833090

Least Common Multiple (LCM) of 8890 and 8905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8890 and 8905. First we will calculate the prime factors of 8890 and 8905.

Prime Factorization of 8890

Prime factors of 8890 are 2, 5, 7, 127. Prime factorization of 8890 in exponential form is:

8890 = 21 × 51 × 71 × 1271

Prime Factorization of 8905

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

8905 = 51 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8890 and 8905.

LCM(8890,8905) = 21 × 51 × 71 × 1271 × 131 × 1371
LCM(8890,8905) = 15833090