What is the Least Common Multiple of 27054 and 27074?

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 27074 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 27074, than apply into the LCM equation.

GCF(27054,27074) = 2
LCM(27054,27074) = ( 27054 × 27074) / 2
LCM(27054,27074) = 732459996 / 2
LCM(27054,27074) = 366229998

Least Common Multiple (LCM) of 27054 and 27074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27054 and 27074. First we will calculate the prime factors of 27054 and 27074.

Prime Factorization of 27054

Prime Factorization of 27074

Now multiplying the highest exponent prime factors to calculate the LCM of 27054 and 27074.

LCM(27054,27074) = 2¹ × 3⁴ × 167¹ × 13537¹
LCM(27054,27074) = 366229998