What is the Least Common Multiple of 11064 and 11076?

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 11076 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 11076, than apply into the LCM equation.

GCF(11064,11076) = 12
LCM(11064,11076) = ( 11064 × 11076) / 12
LCM(11064,11076) = 122544864 / 12
LCM(11064,11076) = 10212072

Least Common Multiple (LCM) of 11064 and 11076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11076. First we will calculate the prime factors of 11064 and 11076.

Prime Factorization of 11064

Prime Factorization of 11076

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11076.

LCM(11064,11076) = 2³ × 3¹ × 461¹ × 13¹ × 71¹
LCM(11064,11076) = 10212072