What is the Least Common Multiple of 11064 and 11074?

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 11074 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 11074, than apply into the LCM equation.

GCF(11064,11074) = 2
LCM(11064,11074) = ( 11064 × 11074) / 2
LCM(11064,11074) = 122522736 / 2
LCM(11064,11074) = 61261368

Least Common Multiple (LCM) of 11064 and 11074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11074. First we will calculate the prime factors of 11064 and 11074.

Prime Factorization of 11064

Prime Factorization of 11074

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11074.

LCM(11064,11074) = 2³ × 3¹ × 461¹ × 7² × 113¹
LCM(11064,11074) = 61261368