What is the Least Common Multiple of 11074 and 11082?

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 11082 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 11082, than apply into the LCM equation.

GCF(11074,11082) = 2
LCM(11074,11082) = ( 11074 × 11082) / 2
LCM(11074,11082) = 122722068 / 2
LCM(11074,11082) = 61361034

Least Common Multiple (LCM) of 11074 and 11082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11074 and 11082. First we will calculate the prime factors of 11074 and 11082.

Prime Factorization of 11074

Prime Factorization of 11082

Now multiplying the highest exponent prime factors to calculate the LCM of 11074 and 11082.

LCM(11074,11082) = 2¹ × 7² × 113¹ × 3¹ × 1847¹
LCM(11074,11082) = 61361034