What is the Least Common Multiple of 1098 and 1116?

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 1098 and 1116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1098 and 1116, than apply into the LCM equation.

GCF(1098,1116) = 18
LCM(1098,1116) = ( 1098 × 1116) / 18
LCM(1098,1116) = 1225368 / 18
LCM(1098,1116) = 68076

Least Common Multiple (LCM) of 1098 and 1116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1098 and 1116. First we will calculate the prime factors of 1098 and 1116.

Prime Factorization of 1098

Prime Factorization of 1116

Now multiplying the highest exponent prime factors to calculate the LCM of 1098 and 1116.

LCM(1098,1116) = 2² × 3² × 61¹ × 31¹
LCM(1098,1116) = 68076