What is the Least Common Multiple of 11098 and 11103?

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 11098 and 11103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11098 and 11103, than apply into the LCM equation.

GCF(11098,11103) = 1
LCM(11098,11103) = ( 11098 × 11103) / 1
LCM(11098,11103) = 123221094 / 1
LCM(11098,11103) = 123221094

Least Common Multiple (LCM) of 11098 and 11103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11098 and 11103. First we will calculate the prime factors of 11098 and 11103.

Prime Factorization of 11098

Prime Factorization of 11103

Now multiplying the highest exponent prime factors to calculate the LCM of 11098 and 11103.

LCM(11098,11103) = 2¹ × 31¹ × 179¹ × 3¹ × 3701¹
LCM(11098,11103) = 123221094