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What is the Least Common Multiple of 67267 and 67273?

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 67267 and 67273 is 4525252891.

LCM(67267,67273) = 4525252891

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Least Common Multiple of 67267 and 67273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67267 and 67273, than apply into the LCM equation.

GCF(67267,67273) = 1
LCM(67267,67273) = ( 67267 × 67273) / 1
LCM(67267,67273) = 4525252891 / 1
LCM(67267,67273) = 4525252891

Least Common Multiple (LCM) of 67267 and 67273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67267 and 67273. First we will calculate the prime factors of 67267 and 67273.

Prime Factorization of 67267

Prime factors of 67267 are 137, 491. Prime factorization of 67267 in exponential form is:

67267 = 1371 × 4911

Prime Factorization of 67273

Prime factors of 67273 are 67273. Prime factorization of 67273 in exponential form is:

67273 = 672731

Now multiplying the highest exponent prime factors to calculate the LCM of 67267 and 67273.

LCM(67267,67273) = 1371 × 4911 × 672731
LCM(67267,67273) = 4525252891