What is the Least Common Multiple of 75033 and 75038?

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 75033 and 75038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75033 and 75038, than apply into the LCM equation.

GCF(75033,75038) = 1
LCM(75033,75038) = ( 75033 × 75038) / 1
LCM(75033,75038) = 5630326254 / 1
LCM(75033,75038) = 5630326254

Least Common Multiple (LCM) of 75033 and 75038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75033 and 75038. First we will calculate the prime factors of 75033 and 75038.

Prime Factorization of 75033

Prime Factorization of 75038

Now multiplying the highest exponent prime factors to calculate the LCM of 75033 and 75038.

LCM(75033,75038) = 3³ × 7¹ × 397¹ × 2¹ × 17¹ × 2207¹
LCM(75033,75038) = 5630326254