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What is the Least Common Multiple of 68272 and 68291?

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 68272 and 68291 is 4662363152.

LCM(68272,68291) = 4662363152

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Least Common Multiple of 68272 and 68291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68272 and 68291, than apply into the LCM equation.

GCF(68272,68291) = 1
LCM(68272,68291) = ( 68272 × 68291) / 1
LCM(68272,68291) = 4662363152 / 1
LCM(68272,68291) = 4662363152

Least Common Multiple (LCM) of 68272 and 68291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68272 and 68291. First we will calculate the prime factors of 68272 and 68291.

Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 24 × 171 × 2511

Prime Factorization of 68291

Prime factors of 68291 are 47, 1453. Prime factorization of 68291 in exponential form is:

68291 = 471 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 68272 and 68291.

LCM(68272,68291) = 24 × 171 × 2511 × 471 × 14531
LCM(68272,68291) = 4662363152