What is the Least Common Multiple of 52344 and 52349?

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 52344 and 52349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52344 and 52349, than apply into the LCM equation.

GCF(52344,52349) = 1
LCM(52344,52349) = ( 52344 × 52349) / 1
LCM(52344,52349) = 2740156056 / 1
LCM(52344,52349) = 2740156056

Least Common Multiple (LCM) of 52344 and 52349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52344 and 52349. First we will calculate the prime factors of 52344 and 52349.

Prime Factorization of 52344

Prime Factorization of 52349

Now multiplying the highest exponent prime factors to calculate the LCM of 52344 and 52349.

LCM(52344,52349) = 2³ × 3² × 727¹ × 11¹ × 4759¹
LCM(52344,52349) = 2740156056