What is the Least Common Multiple of 5325 and 5341?

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 5325 and 5341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5325 and 5341, than apply into the LCM equation.

GCF(5325,5341) = 1
LCM(5325,5341) = ( 5325 × 5341) / 1
LCM(5325,5341) = 28440825 / 1
LCM(5325,5341) = 28440825

Least Common Multiple (LCM) of 5325 and 5341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5325 and 5341. First we will calculate the prime factors of 5325 and 5341.

Prime Factorization of 5325

Prime Factorization of 5341

Now multiplying the highest exponent prime factors to calculate the LCM of 5325 and 5341.

LCM(5325,5341) = 3¹ × 5² × 71¹ × 7² × 109¹
LCM(5325,5341) = 28440825