What is the Least Common Multiple of 33930 and 33935?

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 33930 and 33935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33930 and 33935, than apply into the LCM equation.

GCF(33930,33935) = 5
LCM(33930,33935) = ( 33930 × 33935) / 5
LCM(33930,33935) = 1151414550 / 5
LCM(33930,33935) = 230282910

Least Common Multiple (LCM) of 33930 and 33935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33930 and 33935. First we will calculate the prime factors of 33930 and 33935.

Prime Factorization of 33930

Prime Factorization of 33935

Now multiplying the highest exponent prime factors to calculate the LCM of 33930 and 33935.

LCM(33930,33935) = 2¹ × 3² × 5¹ × 13¹ × 29¹ × 11¹ × 617¹
LCM(33930,33935) = 230282910