What is the Least Common Multiple of 14816 and 14826?

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 14816 and 14826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14816 and 14826, than apply into the LCM equation.

GCF(14816,14826) = 2
LCM(14816,14826) = ( 14816 × 14826) / 2
LCM(14816,14826) = 219662016 / 2
LCM(14816,14826) = 109831008

Least Common Multiple (LCM) of 14816 and 14826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14816 and 14826. First we will calculate the prime factors of 14816 and 14826.

Prime Factorization of 14816

Prime Factorization of 14826

Now multiplying the highest exponent prime factors to calculate the LCM of 14816 and 14826.

LCM(14816,14826) = 2⁵ × 463¹ × 3¹ × 7¹ × 353¹
LCM(14816,14826) = 109831008