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What is the Least Common Multiple of 12060 and 12071?

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 12060 and 12071 is 145576260.

LCM(12060,12071) = 145576260

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Least Common Multiple of 12060 and 12071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12060 and 12071, than apply into the LCM equation.

GCF(12060,12071) = 1
LCM(12060,12071) = ( 12060 × 12071) / 1
LCM(12060,12071) = 145576260 / 1
LCM(12060,12071) = 145576260

Least Common Multiple (LCM) of 12060 and 12071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12060 and 12071. First we will calculate the prime factors of 12060 and 12071.

Prime Factorization of 12060

Prime factors of 12060 are 2, 3, 5, 67. Prime factorization of 12060 in exponential form is:

12060 = 22 × 32 × 51 × 671

Prime Factorization of 12071

Prime factors of 12071 are 12071. Prime factorization of 12071 in exponential form is:

12071 = 120711

Now multiplying the highest exponent prime factors to calculate the LCM of 12060 and 12071.

LCM(12060,12071) = 22 × 32 × 51 × 671 × 120711
LCM(12060,12071) = 145576260