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What is the Least Common Multiple of 67269 and 67286?

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 67269 and 67286 is 266250702.

LCM(67269,67286) = 266250702

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Least Common Multiple of 67269 and 67286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67269 and 67286, than apply into the LCM equation.

GCF(67269,67286) = 17
LCM(67269,67286) = ( 67269 × 67286) / 17
LCM(67269,67286) = 4526261934 / 17
LCM(67269,67286) = 266250702

Least Common Multiple (LCM) of 67269 and 67286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67269 and 67286. First we will calculate the prime factors of 67269 and 67286.

Prime Factorization of 67269

Prime factors of 67269 are 3, 17, 1319. Prime factorization of 67269 in exponential form is:

67269 = 31 × 171 × 13191

Prime Factorization of 67286

Prime factors of 67286 are 2, 17, 1979. Prime factorization of 67286 in exponential form is:

67286 = 21 × 171 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 67269 and 67286.

LCM(67269,67286) = 31 × 171 × 13191 × 21 × 19791
LCM(67269,67286) = 266250702