What is the Least Common Multiple of 26782 and 26789?

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 26782 and 26789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26782 and 26789, than apply into the LCM equation.

GCF(26782,26789) = 7
LCM(26782,26789) = ( 26782 × 26789) / 7
LCM(26782,26789) = 717462998 / 7
LCM(26782,26789) = 102494714

Least Common Multiple (LCM) of 26782 and 26789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26782 and 26789. First we will calculate the prime factors of 26782 and 26789.

Prime Factorization of 26782

Prime Factorization of 26789

Now multiplying the highest exponent prime factors to calculate the LCM of 26782 and 26789.

LCM(26782,26789) = 2¹ × 7¹ × 1913¹ × 43¹ × 89¹
LCM(26782,26789) = 102494714