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What is the Least Common Multiple of 8650 and 8670?

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 8650 and 8670 is 7499550.

LCM(8650,8670) = 7499550

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Least Common Multiple of 8650 and 8670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8650 and 8670, than apply into the LCM equation.

GCF(8650,8670) = 10
LCM(8650,8670) = ( 8650 × 8670) / 10
LCM(8650,8670) = 74995500 / 10
LCM(8650,8670) = 7499550

Least Common Multiple (LCM) of 8650 and 8670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8650 and 8670. First we will calculate the prime factors of 8650 and 8670.

Prime Factorization of 8650

Prime factors of 8650 are 2, 5, 173. Prime factorization of 8650 in exponential form is:

8650 = 21 × 52 × 1731

Prime Factorization of 8670

Prime factors of 8670 are 2, 3, 5, 17. Prime factorization of 8670 in exponential form is:

8670 = 21 × 31 × 51 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 8650 and 8670.

LCM(8650,8670) = 21 × 52 × 1731 × 31 × 172
LCM(8650,8670) = 7499550