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What is the Least Common Multiple of 64848 and 64866?

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 64848 and 64866 is 701071728.

LCM(64848,64866) = 701071728

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Least Common Multiple of 64848 and 64866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64848 and 64866, than apply into the LCM equation.

GCF(64848,64866) = 6
LCM(64848,64866) = ( 64848 × 64866) / 6
LCM(64848,64866) = 4206430368 / 6
LCM(64848,64866) = 701071728

Least Common Multiple (LCM) of 64848 and 64866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64848 and 64866. First we will calculate the prime factors of 64848 and 64866.

Prime Factorization of 64848

Prime factors of 64848 are 2, 3, 7, 193. Prime factorization of 64848 in exponential form is:

64848 = 24 × 31 × 71 × 1931

Prime Factorization of 64866

Prime factors of 64866 are 2, 3, 19, 569. Prime factorization of 64866 in exponential form is:

64866 = 21 × 31 × 191 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 64848 and 64866.

LCM(64848,64866) = 24 × 31 × 71 × 1931 × 191 × 5691
LCM(64848,64866) = 701071728