What is the Least Common Multiple of 11284 and 11297?

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 11284 and 11297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11284 and 11297, than apply into the LCM equation.

GCF(11284,11297) = 13
LCM(11284,11297) = ( 11284 × 11297) / 13
LCM(11284,11297) = 127475348 / 13
LCM(11284,11297) = 9805796

Least Common Multiple (LCM) of 11284 and 11297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11284 and 11297. First we will calculate the prime factors of 11284 and 11297.

Prime Factorization of 11284

Prime Factorization of 11297

Now multiplying the highest exponent prime factors to calculate the LCM of 11284 and 11297.

LCM(11284,11297) = 2² × 7¹ × 13¹ × 31¹ × 11¹ × 79¹
LCM(11284,11297) = 9805796