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What is the Least Common Multiple of 64854 and 64873?

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 64854 and 64873 is 4207273542.

LCM(64854,64873) = 4207273542

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Least Common Multiple of 64854 and 64873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64854 and 64873, than apply into the LCM equation.

GCF(64854,64873) = 1
LCM(64854,64873) = ( 64854 × 64873) / 1
LCM(64854,64873) = 4207273542 / 1
LCM(64854,64873) = 4207273542

Least Common Multiple (LCM) of 64854 and 64873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64854 and 64873. First we will calculate the prime factors of 64854 and 64873.

Prime Factorization of 64854

Prime factors of 64854 are 2, 3, 1201. Prime factorization of 64854 in exponential form is:

64854 = 21 × 33 × 12011

Prime Factorization of 64873

Prime factors of 64873 are 29, 2237. Prime factorization of 64873 in exponential form is:

64873 = 291 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 64854 and 64873.

LCM(64854,64873) = 21 × 33 × 12011 × 291 × 22371
LCM(64854,64873) = 4207273542