What is the Least Common Multiple of 12038 and 12054?

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 12038 and 12054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12038 and 12054, than apply into the LCM equation.

GCF(12038,12054) = 2
LCM(12038,12054) = ( 12038 × 12054) / 2
LCM(12038,12054) = 145106052 / 2
LCM(12038,12054) = 72553026

Least Common Multiple (LCM) of 12038 and 12054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12038 and 12054. First we will calculate the prime factors of 12038 and 12054.

Prime Factorization of 12038

Prime Factorization of 12054

Now multiplying the highest exponent prime factors to calculate the LCM of 12038 and 12054.

LCM(12038,12054) = 2¹ × 13¹ × 463¹ × 3¹ × 7² × 41¹
LCM(12038,12054) = 72553026