What is the Least Common Multiple of 11114 and 11131?

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 11114 and 11131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11114 and 11131, than apply into the LCM equation.

GCF(11114,11131) = 1
LCM(11114,11131) = ( 11114 × 11131) / 1
LCM(11114,11131) = 123709934 / 1
LCM(11114,11131) = 123709934

Least Common Multiple (LCM) of 11114 and 11131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11114 and 11131. First we will calculate the prime factors of 11114 and 11131.

Prime Factorization of 11114

Prime Factorization of 11131

Now multiplying the highest exponent prime factors to calculate the LCM of 11114 and 11131.

LCM(11114,11131) = 2¹ × 5557¹ × 11131¹
LCM(11114,11131) = 123709934