What is the Least Common Multiple of 52339 and 52343?

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 52339 and 52343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52339 and 52343, than apply into the LCM equation.

GCF(52339,52343) = 1
LCM(52339,52343) = ( 52339 × 52343) / 1
LCM(52339,52343) = 2739580277 / 1
LCM(52339,52343) = 2739580277

Least Common Multiple (LCM) of 52339 and 52343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52339 and 52343. First we will calculate the prime factors of 52339 and 52343.

Prime Factorization of 52339

Prime Factorization of 52343

Now multiplying the highest exponent prime factors to calculate the LCM of 52339 and 52343.

LCM(52339,52343) = 7¹ × 7477¹ × 17¹ × 3079¹
LCM(52339,52343) = 2739580277