What is the Least Common Multiple of 52319 and 52339?

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 52319 and 52339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52319 and 52339, than apply into the LCM equation.

GCF(52319,52339) = 1
LCM(52319,52339) = ( 52319 × 52339) / 1
LCM(52319,52339) = 2738324141 / 1
LCM(52319,52339) = 2738324141

Least Common Multiple (LCM) of 52319 and 52339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52319 and 52339. First we will calculate the prime factors of 52319 and 52339.

Prime Factorization of 52319

Prime Factorization of 52339

Now multiplying the highest exponent prime factors to calculate the LCM of 52319 and 52339.

LCM(52319,52339) = 113¹ × 463¹ × 7¹ × 7477¹
LCM(52319,52339) = 2738324141