What is the Least Common Multiple of 11074 and 11088?

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 11074 and 11088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11074 and 11088, than apply into the LCM equation.

GCF(11074,11088) = 14
LCM(11074,11088) = ( 11074 × 11088) / 14
LCM(11074,11088) = 122788512 / 14
LCM(11074,11088) = 8770608

Least Common Multiple (LCM) of 11074 and 11088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11074 and 11088. First we will calculate the prime factors of 11074 and 11088.

Prime Factorization of 11074

Prime Factorization of 11088

Now multiplying the highest exponent prime factors to calculate the LCM of 11074 and 11088.

LCM(11074,11088) = 2⁴ × 7² × 113¹ × 3² × 11¹
LCM(11074,11088) = 8770608