What is the Least Common Multiple of 1114 and 1129?

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 1114 and 1129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1114 and 1129, than apply into the LCM equation.

GCF(1114,1129) = 1
LCM(1114,1129) = ( 1114 × 1129) / 1
LCM(1114,1129) = 1257706 / 1
LCM(1114,1129) = 1257706

Least Common Multiple (LCM) of 1114 and 1129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1114 and 1129. First we will calculate the prime factors of 1114 and 1129.

Prime Factorization of 1114

Prime Factorization of 1129

Now multiplying the highest exponent prime factors to calculate the LCM of 1114 and 1129.

LCM(1114,1129) = 2¹ × 557¹ × 1129¹
LCM(1114,1129) = 1257706