What is the Least Common Multiple of 10319 and 10334?

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 10319 and 10334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10319 and 10334, than apply into the LCM equation.

GCF(10319,10334) = 1
LCM(10319,10334) = ( 10319 × 10334) / 1
LCM(10319,10334) = 106636546 / 1
LCM(10319,10334) = 106636546

Least Common Multiple (LCM) of 10319 and 10334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10319 and 10334. First we will calculate the prime factors of 10319 and 10334.

Prime Factorization of 10319

Prime Factorization of 10334

Now multiplying the highest exponent prime factors to calculate the LCM of 10319 and 10334.

LCM(10319,10334) = 17¹ × 607¹ × 2¹ × 5167¹
LCM(10319,10334) = 106636546