What is the Least Common Multiple of 11064 and 11073?

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 11073 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 11073, than apply into the LCM equation.

GCF(11064,11073) = 3
LCM(11064,11073) = ( 11064 × 11073) / 3
LCM(11064,11073) = 122511672 / 3
LCM(11064,11073) = 40837224

Least Common Multiple (LCM) of 11064 and 11073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11073. First we will calculate the prime factors of 11064 and 11073.

Prime Factorization of 11064

Prime Factorization of 11073

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11073.

LCM(11064,11073) = 2³ × 3¹ × 461¹ × 3691¹
LCM(11064,11073) = 40837224