What is the Least Common Multiple of 1101 and 1107?

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 1101 and 1107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1101 and 1107, than apply into the LCM equation.

GCF(1101,1107) = 3
LCM(1101,1107) = ( 1101 × 1107) / 3
LCM(1101,1107) = 1218807 / 3
LCM(1101,1107) = 406269

Least Common Multiple (LCM) of 1101 and 1107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1101 and 1107. First we will calculate the prime factors of 1101 and 1107.

Prime Factorization of 1101

Prime Factorization of 1107

Now multiplying the highest exponent prime factors to calculate the LCM of 1101 and 1107.

LCM(1101,1107) = 3³ × 367¹ × 41¹
LCM(1101,1107) = 406269