What is the Least Common Multiple of 26353 and 26365?

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 26353 and 26365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26353 and 26365, than apply into the LCM equation.

GCF(26353,26365) = 1
LCM(26353,26365) = ( 26353 × 26365) / 1
LCM(26353,26365) = 694796845 / 1
LCM(26353,26365) = 694796845

Least Common Multiple (LCM) of 26353 and 26365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26353 and 26365. First we will calculate the prime factors of 26353 and 26365.

Prime Factorization of 26353

Prime Factorization of 26365

Now multiplying the highest exponent prime factors to calculate the LCM of 26353 and 26365.

LCM(26353,26365) = 19² × 73¹ × 5¹ × 5273¹
LCM(26353,26365) = 694796845