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What is the Least Common Multiple of 12069 and 12074?

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 12069 and 12074 is 145721106.

LCM(12069,12074) = 145721106

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Least Common Multiple of 12069 and 12074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12069 and 12074, than apply into the LCM equation.

GCF(12069,12074) = 1
LCM(12069,12074) = ( 12069 × 12074) / 1
LCM(12069,12074) = 145721106 / 1
LCM(12069,12074) = 145721106

Least Common Multiple (LCM) of 12069 and 12074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12069 and 12074. First we will calculate the prime factors of 12069 and 12074.

Prime Factorization of 12069

Prime factors of 12069 are 3, 149. Prime factorization of 12069 in exponential form is:

12069 = 34 × 1491

Prime Factorization of 12074

Prime factors of 12074 are 2, 6037. Prime factorization of 12074 in exponential form is:

12074 = 21 × 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 12069 and 12074.

LCM(12069,12074) = 34 × 1491 × 21 × 60371
LCM(12069,12074) = 145721106