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What is the Least Common Multiple of 65854 and 65870?

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 65854 and 65870 is 2168901490.

LCM(65854,65870) = 2168901490

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Least Common Multiple of 65854 and 65870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65854 and 65870, than apply into the LCM equation.

GCF(65854,65870) = 2
LCM(65854,65870) = ( 65854 × 65870) / 2
LCM(65854,65870) = 4337802980 / 2
LCM(65854,65870) = 2168901490

Least Common Multiple (LCM) of 65854 and 65870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65854 and 65870. First we will calculate the prime factors of 65854 and 65870.

Prime Factorization of 65854

Prime factors of 65854 are 2, 19, 1733. Prime factorization of 65854 in exponential form is:

65854 = 21 × 191 × 17331

Prime Factorization of 65870

Prime factors of 65870 are 2, 5, 7, 941. Prime factorization of 65870 in exponential form is:

65870 = 21 × 51 × 71 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 65854 and 65870.

LCM(65854,65870) = 21 × 191 × 17331 × 51 × 71 × 9411
LCM(65854,65870) = 2168901490