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What is the Least Common Multiple of 68060 and 68071?

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 68060 and 68071 is 4632912260.

LCM(68060,68071) = 4632912260

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Least Common Multiple of 68060 and 68071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68060 and 68071, than apply into the LCM equation.

GCF(68060,68071) = 1
LCM(68060,68071) = ( 68060 × 68071) / 1
LCM(68060,68071) = 4632912260 / 1
LCM(68060,68071) = 4632912260

Least Common Multiple (LCM) of 68060 and 68071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68060 and 68071. First we will calculate the prime factors of 68060 and 68071.

Prime Factorization of 68060

Prime factors of 68060 are 2, 5, 41, 83. Prime factorization of 68060 in exponential form is:

68060 = 22 × 51 × 411 × 831

Prime Factorization of 68071

Prime factors of 68071 are 68071. Prime factorization of 68071 in exponential form is:

68071 = 680711

Now multiplying the highest exponent prime factors to calculate the LCM of 68060 and 68071.

LCM(68060,68071) = 22 × 51 × 411 × 831 × 680711
LCM(68060,68071) = 4632912260