What is the Least Common Multiple of 1083 and 1102?

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 1083 and 1102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1083 and 1102, than apply into the LCM equation.

GCF(1083,1102) = 19
LCM(1083,1102) = ( 1083 × 1102) / 19
LCM(1083,1102) = 1193466 / 19
LCM(1083,1102) = 62814

Least Common Multiple (LCM) of 1083 and 1102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1083 and 1102. First we will calculate the prime factors of 1083 and 1102.

Prime Factorization of 1083

Prime Factorization of 1102

Now multiplying the highest exponent prime factors to calculate the LCM of 1083 and 1102.

LCM(1083,1102) = 3¹ × 19² × 2¹ × 29¹
LCM(1083,1102) = 62814