What is the Least Common Multiple of 5345 and 5353?

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 5345 and 5353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5345 and 5353, than apply into the LCM equation.

GCF(5345,5353) = 1
LCM(5345,5353) = ( 5345 × 5353) / 1
LCM(5345,5353) = 28611785 / 1
LCM(5345,5353) = 28611785

Least Common Multiple (LCM) of 5345 and 5353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5345 and 5353. First we will calculate the prime factors of 5345 and 5353.

Prime Factorization of 5345

Prime Factorization of 5353

Now multiplying the highest exponent prime factors to calculate the LCM of 5345 and 5353.

LCM(5345,5353) = 5¹ × 1069¹ × 53¹ × 101¹
LCM(5345,5353) = 28611785