What is the Least Common Multiple of 18796 and 18816?

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 18796 and 18816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18796 and 18816, than apply into the LCM equation.

GCF(18796,18816) = 4
LCM(18796,18816) = ( 18796 × 18816) / 4
LCM(18796,18816) = 353665536 / 4
LCM(18796,18816) = 88416384

Least Common Multiple (LCM) of 18796 and 18816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18796 and 18816. First we will calculate the prime factors of 18796 and 18816.

Prime Factorization of 18796

Prime Factorization of 18816

Now multiplying the highest exponent prime factors to calculate the LCM of 18796 and 18816.

LCM(18796,18816) = 2⁷ × 37¹ × 127¹ × 3¹ × 7²
LCM(18796,18816) = 88416384