What is the Least Common Multiple of 26144 and 26153?

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 26153 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 26153, than apply into the LCM equation.

GCF(26144,26153) = 1
LCM(26144,26153) = ( 26144 × 26153) / 1
LCM(26144,26153) = 683744032 / 1
LCM(26144,26153) = 683744032

Least Common Multiple (LCM) of 26144 and 26153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26144 and 26153. First we will calculate the prime factors of 26144 and 26153.

Prime Factorization of 26144

Prime Factorization of 26153

Now multiplying the highest exponent prime factors to calculate the LCM of 26144 and 26153.

LCM(26144,26153) = 2⁵ × 19¹ × 43¹ × 26153¹
LCM(26144,26153) = 683744032