What is the Least Common Multiple of 27054 and 27064?

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 27054 and 27064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27054 and 27064, than apply into the LCM equation.

GCF(27054,27064) = 2
LCM(27054,27064) = ( 27054 × 27064) / 2
LCM(27054,27064) = 732189456 / 2
LCM(27054,27064) = 366094728

Least Common Multiple (LCM) of 27054 and 27064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27054 and 27064. First we will calculate the prime factors of 27054 and 27064.

Prime Factorization of 27054

Prime Factorization of 27064

Now multiplying the highest exponent prime factors to calculate the LCM of 27054 and 27064.

LCM(27054,27064) = 2³ × 3⁴ × 167¹ × 17¹ × 199¹
LCM(27054,27064) = 366094728