What is the Least Common Multiple of 26789 and 26801?

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 26789 and 26801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26789 and 26801, than apply into the LCM equation.

GCF(26789,26801) = 1
LCM(26789,26801) = ( 26789 × 26801) / 1
LCM(26789,26801) = 717971989 / 1
LCM(26789,26801) = 717971989

Least Common Multiple (LCM) of 26789 and 26801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26789 and 26801. First we will calculate the prime factors of 26789 and 26801.

Prime Factorization of 26789

Prime Factorization of 26801

Now multiplying the highest exponent prime factors to calculate the LCM of 26789 and 26801.

LCM(26789,26801) = 7¹ × 43¹ × 89¹ × 26801¹
LCM(26789,26801) = 717971989