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What is the Least Common Multiple of 12063 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 12063 and 12074 is 145648662.

LCM(12063,12074) = 145648662

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Least Common Multiple of 12063 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 12063 and 12074, than apply into the LCM equation.

GCF(12063,12074) = 1
LCM(12063,12074) = ( 12063 × 12074) / 1
LCM(12063,12074) = 145648662 / 1
LCM(12063,12074) = 145648662

Least Common Multiple (LCM) of 12063 and 12074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12063 and 12074. First we will calculate the prime factors of 12063 and 12074.

Prime Factorization of 12063

Prime factors of 12063 are 3, 4021. Prime factorization of 12063 in exponential form is:

12063 = 31 × 40211

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 12063 and 12074.

LCM(12063,12074) = 31 × 40211 × 21 × 60371
LCM(12063,12074) = 145648662