What is the Least Common Multiple of 53389 and 53403?

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 53389 and 53403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53389 and 53403, than apply into the LCM equation.

GCF(53389,53403) = 7
LCM(53389,53403) = ( 53389 × 53403) / 7
LCM(53389,53403) = 2851132767 / 7
LCM(53389,53403) = 407304681

Least Common Multiple (LCM) of 53389 and 53403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53389 and 53403. First we will calculate the prime factors of 53389 and 53403.

Prime Factorization of 53389

Prime Factorization of 53403

Now multiplying the highest exponent prime factors to calculate the LCM of 53389 and 53403.

LCM(53389,53403) = 7¹ × 29¹ × 263¹ × 3¹ × 2543¹
LCM(53389,53403) = 407304681