What is the Least Common Multiple of 14892 and 14912?

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 14892 and 14912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14892 and 14912, than apply into the LCM equation.

GCF(14892,14912) = 4
LCM(14892,14912) = ( 14892 × 14912) / 4
LCM(14892,14912) = 222069504 / 4
LCM(14892,14912) = 55517376

Least Common Multiple (LCM) of 14892 and 14912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14892 and 14912. First we will calculate the prime factors of 14892 and 14912.

Prime Factorization of 14892

Prime Factorization of 14912

Now multiplying the highest exponent prime factors to calculate the LCM of 14892 and 14912.

LCM(14892,14912) = 2⁶ × 3¹ × 17¹ × 73¹ × 233¹
LCM(14892,14912) = 55517376