What is the Least Common Multiple of 11064 and 11084?

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 11064 and 11084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11064 and 11084, than apply into the LCM equation.

GCF(11064,11084) = 4
LCM(11064,11084) = ( 11064 × 11084) / 4
LCM(11064,11084) = 122633376 / 4
LCM(11064,11084) = 30658344

Least Common Multiple (LCM) of 11064 and 11084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11084. First we will calculate the prime factors of 11064 and 11084.

Prime Factorization of 11064

Prime Factorization of 11084

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11084.

LCM(11064,11084) = 2³ × 3¹ × 461¹ × 17¹ × 163¹
LCM(11064,11084) = 30658344