What is the Least Common Multiple of 12054 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 of 12054 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 12054 and 12074, than apply into the LCM equation.

GCF(12054,12074) = 2
LCM(12054,12074) = ( 12054 × 12074) / 2
LCM(12054,12074) = 145539996 / 2
LCM(12054,12074) = 72769998

Least Common Multiple (LCM) of 12054 and 12074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12054 and 12074. First we will calculate the prime factors of 12054 and 12074.

Prime Factorization of 12054

Prime Factorization of 12074

Now multiplying the highest exponent prime factors to calculate the LCM of 12054 and 12074.

LCM(12054,12074) = 2¹ × 3¹ × 7² × 41¹ × 6037¹
LCM(12054,12074) = 72769998