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What is the Least Common Multiple of 8690 and 8700?

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 8690 and 8700 is 7560300.

LCM(8690,8700) = 7560300

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Least Common Multiple of 8690 and 8700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8690 and 8700, than apply into the LCM equation.

GCF(8690,8700) = 10
LCM(8690,8700) = ( 8690 × 8700) / 10
LCM(8690,8700) = 75603000 / 10
LCM(8690,8700) = 7560300

Least Common Multiple (LCM) of 8690 and 8700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8690 and 8700. First we will calculate the prime factors of 8690 and 8700.

Prime Factorization of 8690

Prime factors of 8690 are 2, 5, 11, 79. Prime factorization of 8690 in exponential form is:

8690 = 21 × 51 × 111 × 791

Prime Factorization of 8700

Prime factors of 8700 are 2, 3, 5, 29. Prime factorization of 8700 in exponential form is:

8700 = 22 × 31 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 8690 and 8700.

LCM(8690,8700) = 22 × 52 × 111 × 791 × 31 × 291
LCM(8690,8700) = 7560300