What is the Least Common Multiple of 27335 and 27342?

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 27335 and 27342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27335 and 27342, than apply into the LCM equation.

GCF(27335,27342) = 7
LCM(27335,27342) = ( 27335 × 27342) / 7
LCM(27335,27342) = 747393570 / 7
LCM(27335,27342) = 106770510

Least Common Multiple (LCM) of 27335 and 27342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27335 and 27342. First we will calculate the prime factors of 27335 and 27342.

Prime Factorization of 27335

Prime Factorization of 27342

Now multiplying the highest exponent prime factors to calculate the LCM of 27335 and 27342.

LCM(27335,27342) = 5¹ × 7² × 11¹ × 71¹ × 2¹ × 3² × 31¹
LCM(27335,27342) = 106770510