What is the Least Common Multiple of 5365 and 5373?

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 5365 and 5373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5365 and 5373, than apply into the LCM equation.

GCF(5365,5373) = 1
LCM(5365,5373) = ( 5365 × 5373) / 1
LCM(5365,5373) = 28826145 / 1
LCM(5365,5373) = 28826145

Least Common Multiple (LCM) of 5365 and 5373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5365 and 5373. First we will calculate the prime factors of 5365 and 5373.

Prime Factorization of 5365

Prime Factorization of 5373

Now multiplying the highest exponent prime factors to calculate the LCM of 5365 and 5373.

LCM(5365,5373) = 5¹ × 29¹ × 37¹ × 3³ × 199¹
LCM(5365,5373) = 28826145