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What is the Least Common Multiple of 67853 and 67867?

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 67853 and 67867 is 4604979551.

LCM(67853,67867) = 4604979551

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Least Common Multiple of 67853 and 67867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67853 and 67867, than apply into the LCM equation.

GCF(67853,67867) = 1
LCM(67853,67867) = ( 67853 × 67867) / 1
LCM(67853,67867) = 4604979551 / 1
LCM(67853,67867) = 4604979551

Least Common Multiple (LCM) of 67853 and 67867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67853 and 67867. First we will calculate the prime factors of 67853 and 67867.

Prime Factorization of 67853

Prime factors of 67853 are 67853. Prime factorization of 67853 in exponential form is:

67853 = 678531

Prime Factorization of 67867

Prime factors of 67867 are 67867. Prime factorization of 67867 in exponential form is:

67867 = 678671

Now multiplying the highest exponent prime factors to calculate the LCM of 67853 and 67867.

LCM(67853,67867) = 678531 × 678671
LCM(67853,67867) = 4604979551