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What is the Least Common Multiple of 8654 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 8654 and 8670 is 37515090.

LCM(8654,8670) = 37515090

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Least Common Multiple of 8654 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 8654 and 8670, than apply into the LCM equation.

GCF(8654,8670) = 2
LCM(8654,8670) = ( 8654 × 8670) / 2
LCM(8654,8670) = 75030180 / 2
LCM(8654,8670) = 37515090

Least Common Multiple (LCM) of 8654 and 8670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8654 and 8670. First we will calculate the prime factors of 8654 and 8670.

Prime Factorization of 8654

Prime factors of 8654 are 2, 4327. Prime factorization of 8654 in exponential form is:

8654 = 21 × 43271

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 8654 and 8670.

LCM(8654,8670) = 21 × 43271 × 31 × 51 × 172
LCM(8654,8670) = 37515090