What is the Least Common Multiple of 11046 and 11064?

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 11046 and 11064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11046 and 11064, than apply into the LCM equation.

GCF(11046,11064) = 6
LCM(11046,11064) = ( 11046 × 11064) / 6
LCM(11046,11064) = 122212944 / 6
LCM(11046,11064) = 20368824

Least Common Multiple (LCM) of 11046 and 11064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11046 and 11064. First we will calculate the prime factors of 11046 and 11064.

Prime Factorization of 11046

Prime Factorization of 11064

Now multiplying the highest exponent prime factors to calculate the LCM of 11046 and 11064.

LCM(11046,11064) = 2³ × 3¹ × 7¹ × 263¹ × 461¹
LCM(11046,11064) = 20368824