What is the Least Common Multiple of 11121 and 11134?

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 11121 and 11134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11121 and 11134, than apply into the LCM equation.

GCF(11121,11134) = 1
LCM(11121,11134) = ( 11121 × 11134) / 1
LCM(11121,11134) = 123821214 / 1
LCM(11121,11134) = 123821214

Least Common Multiple (LCM) of 11121 and 11134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11121 and 11134. First we will calculate the prime factors of 11121 and 11134.

Prime Factorization of 11121

Prime Factorization of 11134

Now multiplying the highest exponent prime factors to calculate the LCM of 11121 and 11134.

LCM(11121,11134) = 3¹ × 11¹ × 337¹ × 2¹ × 19¹ × 293¹
LCM(11121,11134) = 123821214