What is the Least Common Multiple of 33335 and 33343?

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 33335 and 33343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33335 and 33343, than apply into the LCM equation.

GCF(33335,33343) = 1
LCM(33335,33343) = ( 33335 × 33343) / 1
LCM(33335,33343) = 1111488905 / 1
LCM(33335,33343) = 1111488905

Least Common Multiple (LCM) of 33335 and 33343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33335 and 33343. First we will calculate the prime factors of 33335 and 33343.

Prime Factorization of 33335

Prime Factorization of 33343

Now multiplying the highest exponent prime factors to calculate the LCM of 33335 and 33343.

LCM(33335,33343) = 5¹ × 59¹ × 113¹ × 33343¹
LCM(33335,33343) = 1111488905