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What is the Least Common Multiple of 4865 and 4870?

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 4865 and 4870 is 4738510.

LCM(4865,4870) = 4738510

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Least Common Multiple of 4865 and 4870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4865 and 4870, than apply into the LCM equation.

GCF(4865,4870) = 5
LCM(4865,4870) = ( 4865 × 4870) / 5
LCM(4865,4870) = 23692550 / 5
LCM(4865,4870) = 4738510

Least Common Multiple (LCM) of 4865 and 4870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4865 and 4870. First we will calculate the prime factors of 4865 and 4870.

Prime Factorization of 4865

Prime factors of 4865 are 5, 7, 139. Prime factorization of 4865 in exponential form is:

4865 = 51 × 71 × 1391

Prime Factorization of 4870

Prime factors of 4870 are 2, 5, 487. Prime factorization of 4870 in exponential form is:

4870 = 21 × 51 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 4865 and 4870.

LCM(4865,4870) = 51 × 71 × 1391 × 21 × 4871
LCM(4865,4870) = 4738510