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What is the Least Common Multiple of 68272 and 68288?

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 68288 is 291384896.

LCM(68272,68288) = 291384896

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Least Common Multiple of 68272 and 68288 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 68288, than apply into the LCM equation.

GCF(68272,68288) = 16
LCM(68272,68288) = ( 68272 × 68288) / 16
LCM(68272,68288) = 4662158336 / 16
LCM(68272,68288) = 291384896

Least Common Multiple (LCM) of 68272 and 68288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68272 and 68288. First we will calculate the prime factors of 68272 and 68288.

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 68288

Prime factors of 68288 are 2, 11, 97. Prime factorization of 68288 in exponential form is:

68288 = 26 × 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 68272 and 68288.

LCM(68272,68288) = 26 × 171 × 2511 × 111 × 971
LCM(68272,68288) = 291384896