What is the Least Common Multiple of 1113 and 1131?

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 1113 and 1131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1113 and 1131, than apply into the LCM equation.

GCF(1113,1131) = 3
LCM(1113,1131) = ( 1113 × 1131) / 3
LCM(1113,1131) = 1258803 / 3
LCM(1113,1131) = 419601

Least Common Multiple (LCM) of 1113 and 1131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1113 and 1131. First we will calculate the prime factors of 1113 and 1131.

Prime Factorization of 1113

Prime Factorization of 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1113 and 1131.

LCM(1113,1131) = 3¹ × 7¹ × 53¹ × 13¹ × 29¹
LCM(1113,1131) = 419601