What is the Least Common Multiple of 26776 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 26776 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 26776 and 26789, than apply into the LCM equation.

GCF(26776,26789) = 1
LCM(26776,26789) = ( 26776 × 26789) / 1
LCM(26776,26789) = 717302264 / 1
LCM(26776,26789) = 717302264

Least Common Multiple (LCM) of 26776 and 26789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26776 and 26789. First we will calculate the prime factors of 26776 and 26789.

Prime Factorization of 26776

Prime Factorization of 26789

Now multiplying the highest exponent prime factors to calculate the LCM of 26776 and 26789.

LCM(26776,26789) = 2³ × 3347¹ × 7¹ × 43¹ × 89¹
LCM(26776,26789) = 717302264