What is the Least Common Multiple of 26144 and 26151?

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 26144 and 26151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26144 and 26151, than apply into the LCM equation.

GCF(26144,26151) = 1
LCM(26144,26151) = ( 26144 × 26151) / 1
LCM(26144,26151) = 683691744 / 1
LCM(26144,26151) = 683691744

Least Common Multiple (LCM) of 26144 and 26151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26144 and 26151. First we will calculate the prime factors of 26144 and 26151.

Prime Factorization of 26144

Prime Factorization of 26151

Now multiplying the highest exponent prime factors to calculate the LCM of 26144 and 26151.

LCM(26144,26151) = 2⁵ × 19¹ × 43¹ × 3¹ × 23¹ × 379¹
LCM(26144,26151) = 683691744