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What is the Least Common Multiple of 67243 and 67249?

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 67243 and 67249 is 4522024507.

LCM(67243,67249) = 4522024507

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Least Common Multiple of 67243 and 67249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67243 and 67249, than apply into the LCM equation.

GCF(67243,67249) = 1
LCM(67243,67249) = ( 67243 × 67249) / 1
LCM(67243,67249) = 4522024507 / 1
LCM(67243,67249) = 4522024507

Least Common Multiple (LCM) of 67243 and 67249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67243 and 67249. First we will calculate the prime factors of 67243 and 67249.

Prime Factorization of 67243

Prime factors of 67243 are 11, 6113. Prime factorization of 67243 in exponential form is:

67243 = 111 × 61131

Prime Factorization of 67249

Prime factors of 67249 are 7, 13, 739. Prime factorization of 67249 in exponential form is:

67249 = 71 × 131 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 67243 and 67249.

LCM(67243,67249) = 111 × 61131 × 71 × 131 × 7391
LCM(67243,67249) = 4522024507