What is the Least Common Multiple of 33335 and 33340?

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 33340 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 33340, than apply into the LCM equation.

GCF(33335,33340) = 5
LCM(33335,33340) = ( 33335 × 33340) / 5
LCM(33335,33340) = 1111388900 / 5
LCM(33335,33340) = 222277780

Least Common Multiple (LCM) of 33335 and 33340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33335 and 33340. First we will calculate the prime factors of 33335 and 33340.

Prime Factorization of 33335

Prime Factorization of 33340

Now multiplying the highest exponent prime factors to calculate the LCM of 33335 and 33340.

LCM(33335,33340) = 5¹ × 59¹ × 113¹ × 2² × 1667¹
LCM(33335,33340) = 222277780