What is the Least Common Multiple of 27054 and 27058?

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 27058 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 27058, than apply into the LCM equation.

GCF(27054,27058) = 2
LCM(27054,27058) = ( 27054 × 27058) / 2
LCM(27054,27058) = 732027132 / 2
LCM(27054,27058) = 366013566

Least Common Multiple (LCM) of 27054 and 27058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27054 and 27058. First we will calculate the prime factors of 27054 and 27058.

Prime Factorization of 27054

Prime Factorization of 27058

Now multiplying the highest exponent prime factors to calculate the LCM of 27054 and 27058.

LCM(27054,27058) = 2¹ × 3⁴ × 167¹ × 83¹ × 163¹
LCM(27054,27058) = 366013566