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What is the Least Common Multiple of 67267 and 67280?

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 67280 is 4525723760.

LCM(67267,67280) = 4525723760

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Least Common Multiple of 67267 and 67280 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 67280, than apply into the LCM equation.

GCF(67267,67280) = 1
LCM(67267,67280) = ( 67267 × 67280) / 1
LCM(67267,67280) = 4525723760 / 1
LCM(67267,67280) = 4525723760

Least Common Multiple (LCM) of 67267 and 67280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67267 and 67280. First we will calculate the prime factors of 67267 and 67280.

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 67280

Prime factors of 67280 are 2, 5, 29. Prime factorization of 67280 in exponential form is:

67280 = 24 × 51 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 67267 and 67280.

LCM(67267,67280) = 1371 × 4911 × 24 × 51 × 292
LCM(67267,67280) = 4525723760