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What is the Least Common Multiple of 68271 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 68271 and 68288 is 4662090048.

LCM(68271,68288) = 4662090048

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Least Common Multiple of 68271 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 68271 and 68288, than apply into the LCM equation.

GCF(68271,68288) = 1
LCM(68271,68288) = ( 68271 × 68288) / 1
LCM(68271,68288) = 4662090048 / 1
LCM(68271,68288) = 4662090048

Least Common Multiple (LCM) of 68271 and 68288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68271 and 68288. First we will calculate the prime factors of 68271 and 68288.

Prime Factorization of 68271

Prime factors of 68271 are 3, 7, 3251. Prime factorization of 68271 in exponential form is:

68271 = 31 × 71 × 32511

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 68271 and 68288.

LCM(68271,68288) = 31 × 71 × 32511 × 26 × 111 × 971
LCM(68271,68288) = 4662090048