What is the Least Common Multiple of 33930 and 33943?

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 33943 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 33943, than apply into the LCM equation.

GCF(33930,33943) = 13
LCM(33930,33943) = ( 33930 × 33943) / 13
LCM(33930,33943) = 1151685990 / 13
LCM(33930,33943) = 88591230

Least Common Multiple (LCM) of 33930 and 33943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33930 and 33943. First we will calculate the prime factors of 33930 and 33943.

Prime Factorization of 33930

Prime Factorization of 33943

Now multiplying the highest exponent prime factors to calculate the LCM of 33930 and 33943.

LCM(33930,33943) = 2¹ × 3² × 5¹ × 13¹ × 29¹ × 7¹ × 373¹
LCM(33930,33943) = 88591230