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What is the Least Common Multiple of 68571 and 68588?

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 68571 and 68588 is 4703147748.

LCM(68571,68588) = 4703147748

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Least Common Multiple of 68571 and 68588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68571 and 68588, than apply into the LCM equation.

GCF(68571,68588) = 1
LCM(68571,68588) = ( 68571 × 68588) / 1
LCM(68571,68588) = 4703147748 / 1
LCM(68571,68588) = 4703147748

Least Common Multiple (LCM) of 68571 and 68588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68571 and 68588. First we will calculate the prime factors of 68571 and 68588.

Prime Factorization of 68571

Prime factors of 68571 are 3, 19, 401. Prime factorization of 68571 in exponential form is:

68571 = 32 × 191 × 4011

Prime Factorization of 68588

Prime factors of 68588 are 2, 13, 1319. Prime factorization of 68588 in exponential form is:

68588 = 22 × 131 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 68571 and 68588.

LCM(68571,68588) = 32 × 191 × 4011 × 22 × 131 × 13191
LCM(68571,68588) = 4703147748