What is the Least Common Multiple of 12032 and 12038?

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 12032 and 12038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12032 and 12038, than apply into the LCM equation.

GCF(12032,12038) = 2
LCM(12032,12038) = ( 12032 × 12038) / 2
LCM(12032,12038) = 144841216 / 2
LCM(12032,12038) = 72420608

Least Common Multiple (LCM) of 12032 and 12038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12032 and 12038. First we will calculate the prime factors of 12032 and 12038.

Prime Factorization of 12032

Prime Factorization of 12038

Now multiplying the highest exponent prime factors to calculate the LCM of 12032 and 12038.

LCM(12032,12038) = 2⁸ × 47¹ × 13¹ × 463¹
LCM(12032,12038) = 72420608