What is the Least Common Multiple of 14796 and 14816?

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 14796 and 14816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14796 and 14816, than apply into the LCM equation.

GCF(14796,14816) = 4
LCM(14796,14816) = ( 14796 × 14816) / 4
LCM(14796,14816) = 219217536 / 4
LCM(14796,14816) = 54804384

Least Common Multiple (LCM) of 14796 and 14816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14796 and 14816. First we will calculate the prime factors of 14796 and 14816.

Prime Factorization of 14796

Prime Factorization of 14816

Now multiplying the highest exponent prime factors to calculate the LCM of 14796 and 14816.

LCM(14796,14816) = 2⁵ × 3³ × 137¹ × 463¹
LCM(14796,14816) = 54804384