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What is the Least Common Multiple of 8740 and 8750?

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 8740 and 8750 is 7647500.

LCM(8740,8750) = 7647500

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Least Common Multiple of 8740 and 8750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8740 and 8750, than apply into the LCM equation.

GCF(8740,8750) = 10
LCM(8740,8750) = ( 8740 × 8750) / 10
LCM(8740,8750) = 76475000 / 10
LCM(8740,8750) = 7647500

Least Common Multiple (LCM) of 8740 and 8750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8740 and 8750. First we will calculate the prime factors of 8740 and 8750.

Prime Factorization of 8740

Prime factors of 8740 are 2, 5, 19, 23. Prime factorization of 8740 in exponential form is:

8740 = 22 × 51 × 191 × 231

Prime Factorization of 8750

Prime factors of 8750 are 2, 5, 7. Prime factorization of 8750 in exponential form is:

8750 = 21 × 54 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 8740 and 8750.

LCM(8740,8750) = 22 × 54 × 191 × 231 × 71
LCM(8740,8750) = 7647500