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What is the Least Common Multiple of 6860 and 6865?

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 6860 and 6865 is 9418780.

LCM(6860,6865) = 9418780

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Least Common Multiple of 6860 and 6865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6860 and 6865, than apply into the LCM equation.

GCF(6860,6865) = 5
LCM(6860,6865) = ( 6860 × 6865) / 5
LCM(6860,6865) = 47093900 / 5
LCM(6860,6865) = 9418780

Least Common Multiple (LCM) of 6860 and 6865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6860 and 6865. First we will calculate the prime factors of 6860 and 6865.

Prime Factorization of 6860

Prime factors of 6860 are 2, 5, 7. Prime factorization of 6860 in exponential form is:

6860 = 22 × 51 × 73

Prime Factorization of 6865

Prime factors of 6865 are 5, 1373. Prime factorization of 6865 in exponential form is:

6865 = 51 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 6860 and 6865.

LCM(6860,6865) = 22 × 51 × 73 × 13731
LCM(6860,6865) = 9418780