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What is the Least Common Multiple of 67261 and 67267?

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 67261 and 67267 is 4524445687.

LCM(67261,67267) = 4524445687

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Least Common Multiple of 67261 and 67267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67261 and 67267, than apply into the LCM equation.

GCF(67261,67267) = 1
LCM(67261,67267) = ( 67261 × 67267) / 1
LCM(67261,67267) = 4524445687 / 1
LCM(67261,67267) = 4524445687

Least Common Multiple (LCM) of 67261 and 67267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67261 and 67267. First we will calculate the prime factors of 67261 and 67267.

Prime Factorization of 67261

Prime factors of 67261 are 67261. Prime factorization of 67261 in exponential form is:

67261 = 672611

Prime Factorization of 67267

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

67267 = 1371 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 67261 and 67267.

LCM(67261,67267) = 672611 × 1371 × 4911
LCM(67261,67267) = 4524445687