What is the Least Common Multiple of 11064 and 11080?

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 11080 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 11080, than apply into the LCM equation.

GCF(11064,11080) = 8
LCM(11064,11080) = ( 11064 × 11080) / 8
LCM(11064,11080) = 122589120 / 8
LCM(11064,11080) = 15323640

Least Common Multiple (LCM) of 11064 and 11080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11080. First we will calculate the prime factors of 11064 and 11080.

Prime Factorization of 11064

Prime Factorization of 11080

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11080.

LCM(11064,11080) = 2³ × 3¹ × 461¹ × 5¹ × 277¹
LCM(11064,11080) = 15323640