What is the Least Common Multiple of 33319 and 33337?

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 33319 and 33337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33319 and 33337, than apply into the LCM equation.

GCF(33319,33337) = 1
LCM(33319,33337) = ( 33319 × 33337) / 1
LCM(33319,33337) = 1110755503 / 1
LCM(33319,33337) = 1110755503

Least Common Multiple (LCM) of 33319 and 33337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33319 and 33337. First we will calculate the prime factors of 33319 and 33337.

Prime Factorization of 33319

Prime Factorization of 33337

Now multiplying the highest exponent prime factors to calculate the LCM of 33319 and 33337.

LCM(33319,33337) = 11¹ × 13¹ × 233¹ × 17¹ × 37¹ × 53¹
LCM(33319,33337) = 1110755503