What is the Least Common Multiple of 26816 and 26829?

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 26816 and 26829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26816 and 26829, than apply into the LCM equation.

GCF(26816,26829) = 1
LCM(26816,26829) = ( 26816 × 26829) / 1
LCM(26816,26829) = 719446464 / 1
LCM(26816,26829) = 719446464

Least Common Multiple (LCM) of 26816 and 26829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26816 and 26829. First we will calculate the prime factors of 26816 and 26829.

Prime Factorization of 26816

Prime Factorization of 26829

Now multiplying the highest exponent prime factors to calculate the LCM of 26816 and 26829.

LCM(26816,26829) = 2⁶ × 419¹ × 3² × 11¹ × 271¹
LCM(26816,26829) = 719446464