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What is the Least Common Multiple of 67251 and 67259?

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 67251 and 67259 is 4523235009.

LCM(67251,67259) = 4523235009

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Least Common Multiple of 67251 and 67259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67251 and 67259, than apply into the LCM equation.

GCF(67251,67259) = 1
LCM(67251,67259) = ( 67251 × 67259) / 1
LCM(67251,67259) = 4523235009 / 1
LCM(67251,67259) = 4523235009

Least Common Multiple (LCM) of 67251 and 67259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67251 and 67259. First we will calculate the prime factors of 67251 and 67259.

Prime Factorization of 67251

Prime factors of 67251 are 3, 29, 773. Prime factorization of 67251 in exponential form is:

67251 = 31 × 291 × 7731

Prime Factorization of 67259

Prime factors of 67259 are 103, 653. Prime factorization of 67259 in exponential form is:

67259 = 1031 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 67251 and 67259.

LCM(67251,67259) = 31 × 291 × 7731 × 1031 × 6531
LCM(67251,67259) = 4523235009