What is the Least Common Multiple of 1101 and 1110?

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 1110 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 1110, than apply into the LCM equation.

GCF(1101,1110) = 3
LCM(1101,1110) = ( 1101 × 1110) / 3
LCM(1101,1110) = 1222110 / 3
LCM(1101,1110) = 407370

Least Common Multiple (LCM) of 1101 and 1110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1101 and 1110. First we will calculate the prime factors of 1101 and 1110.

Prime Factorization of 1101

Prime Factorization of 1110

Now multiplying the highest exponent prime factors to calculate the LCM of 1101 and 1110.

LCM(1101,1110) = 3¹ × 367¹ × 2¹ × 5¹ × 37¹
LCM(1101,1110) = 407370