What is the Least Common Multiple of 5796 and 5816?

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 5796 and 5816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5796 and 5816, than apply into the LCM equation.

GCF(5796,5816) = 4
LCM(5796,5816) = ( 5796 × 5816) / 4
LCM(5796,5816) = 33709536 / 4
LCM(5796,5816) = 8427384

Least Common Multiple (LCM) of 5796 and 5816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5816. First we will calculate the prime factors of 5796 and 5816.

Prime Factorization of 5796

Prime Factorization of 5816

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5816.

LCM(5796,5816) = 2³ × 3² × 7¹ × 23¹ × 727¹
LCM(5796,5816) = 8427384