What is the Least Common Multiple of 13896 and 13912?

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 13896 and 13912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13896 and 13912, than apply into the LCM equation.

GCF(13896,13912) = 8
LCM(13896,13912) = ( 13896 × 13912) / 8
LCM(13896,13912) = 193321152 / 8
LCM(13896,13912) = 24165144

Least Common Multiple (LCM) of 13896 and 13912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13896 and 13912. First we will calculate the prime factors of 13896 and 13912.

Prime Factorization of 13896

Prime Factorization of 13912

Now multiplying the highest exponent prime factors to calculate the LCM of 13896 and 13912.

LCM(13896,13912) = 2³ × 3² × 193¹ × 37¹ × 47¹
LCM(13896,13912) = 24165144