What is the Least Common Multiple of 26800 and 26819?

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 26800 and 26819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26800 and 26819, than apply into the LCM equation.

GCF(26800,26819) = 1
LCM(26800,26819) = ( 26800 × 26819) / 1
LCM(26800,26819) = 718749200 / 1
LCM(26800,26819) = 718749200

Least Common Multiple (LCM) of 26800 and 26819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26800 and 26819. First we will calculate the prime factors of 26800 and 26819.

Prime Factorization of 26800

Prime Factorization of 26819

Now multiplying the highest exponent prime factors to calculate the LCM of 26800 and 26819.

LCM(26800,26819) = 2⁴ × 5² × 67¹ × 13¹ × 2063¹
LCM(26800,26819) = 718749200