What is the Least Common Multiple of 11245 and 11260?

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 11245 and 11260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11245 and 11260, than apply into the LCM equation.

GCF(11245,11260) = 5
LCM(11245,11260) = ( 11245 × 11260) / 5
LCM(11245,11260) = 126618700 / 5
LCM(11245,11260) = 25323740

Least Common Multiple (LCM) of 11245 and 11260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11245 and 11260. First we will calculate the prime factors of 11245 and 11260.

Prime Factorization of 11245

Prime Factorization of 11260

Now multiplying the highest exponent prime factors to calculate the LCM of 11245 and 11260.

LCM(11245,11260) = 5¹ × 13¹ × 173¹ × 2² × 563¹
LCM(11245,11260) = 25323740