What is the Least Common Multiple of 5394 and 5403?

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 5394 and 5403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5394 and 5403, than apply into the LCM equation.

GCF(5394,5403) = 3
LCM(5394,5403) = ( 5394 × 5403) / 3
LCM(5394,5403) = 29143782 / 3
LCM(5394,5403) = 9714594

Least Common Multiple (LCM) of 5394 and 5403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5394 and 5403. First we will calculate the prime factors of 5394 and 5403.

Prime Factorization of 5394

Prime Factorization of 5403

Now multiplying the highest exponent prime factors to calculate the LCM of 5394 and 5403.

LCM(5394,5403) = 2¹ × 3¹ × 29¹ × 31¹ × 1801¹
LCM(5394,5403) = 9714594