What is the Least Common Multiple of 11130 and 11141?

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 11130 and 11141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11130 and 11141, than apply into the LCM equation.

GCF(11130,11141) = 1
LCM(11130,11141) = ( 11130 × 11141) / 1
LCM(11130,11141) = 123999330 / 1
LCM(11130,11141) = 123999330

Least Common Multiple (LCM) of 11130 and 11141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11130 and 11141. First we will calculate the prime factors of 11130 and 11141.

Prime Factorization of 11130

Prime Factorization of 11141

Now multiplying the highest exponent prime factors to calculate the LCM of 11130 and 11141.

LCM(11130,11141) = 2¹ × 3¹ × 5¹ × 7¹ × 53¹ × 13¹ × 857¹
LCM(11130,11141) = 123999330