What is the Least Common Multiple of 27342 and 27346?

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 27342 and 27346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27342 and 27346, than apply into the LCM equation.

GCF(27342,27346) = 2
LCM(27342,27346) = ( 27342 × 27346) / 2
LCM(27342,27346) = 747694332 / 2
LCM(27342,27346) = 373847166

Least Common Multiple (LCM) of 27342 and 27346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27342 and 27346. First we will calculate the prime factors of 27342 and 27346.

Prime Factorization of 27342

Prime Factorization of 27346

Now multiplying the highest exponent prime factors to calculate the LCM of 27342 and 27346.

LCM(27342,27346) = 2¹ × 3² × 7² × 31¹ × 11² × 113¹
LCM(27342,27346) = 373847166