What is the Least Common Multiple of 27342 and 27354?

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 27354 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 27354, than apply into the LCM equation.

GCF(27342,27354) = 6
LCM(27342,27354) = ( 27342 × 27354) / 6
LCM(27342,27354) = 747913068 / 6
LCM(27342,27354) = 124652178

Least Common Multiple (LCM) of 27342 and 27354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27342 and 27354. First we will calculate the prime factors of 27342 and 27354.

Prime Factorization of 27342

Prime Factorization of 27354

Now multiplying the highest exponent prime factors to calculate the LCM of 27342 and 27354.

LCM(27342,27354) = 2¹ × 3² × 7² × 31¹ × 47¹ × 97¹
LCM(27342,27354) = 124652178