Least Common Multiple of 43069 and 43074

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 43069 and 43074 by Prime method
• Least Common Multiple of 43069 and 43074 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 43069 and 43074. First we will calculate the prime factors of 43069 and 43074.

Prime Factorization of 43069

Prime factors of 43069 are 13,3313. Prime factorization of 43069 in exponential form is:

43069 = 13¹×3313¹

Prime Factorization of 43074

Prime factors of 43074 are 2, 3,2393. Prime factorization of 43074 in exponential form is:

43074 = 2¹×3²×2393¹

Now multiplying the highest exponent prime factors to calculate the LCM of 43069 and 43074.

LCM(43069,43074) = 2¹×3²×13¹×2393¹×3313¹
LCM(43069,43074) = 1855154106

Factors of 43069

List of positive integer factors of 43069 that divides 43069 without a remainder.

1, 13, 3313, 43069

Factors of 43074

List of positive integer factors of 43074 that divides 43074 without a remainder.

1, 2, 3, 6, 9, 18, 2393, 4786, 7179, 14358, 21537, 43074

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43069 and 43074, than apply into the LCM equation.

GCF(43069,43074) = 1
LCM(43069,43074) = ( 43069 × 43074) / 1
LCM(43069,43074) = 1855154106 / 1
LCM(43069,43074) = 1855154106

(i) The LCM of 43074 and 43069 is associative

LCM of 43069 and 43074 = LCM of 43074 and 43069

1. What is the LCM of 43069 and 43074?

Answer: LCM of 43069 and 43074 is 1855154106.

2. What are the Factors of 43069?

Answer: Factors of 43069 are 1, 13, 3313, 43069. There are 4 integers that are factors of 43069. The greatest factor of 43069 is 43069.

3. What are the Factors of 43074?

Answer: Factors of 43074 are 1, 2, 3, 6, 9, 18, 2393, 4786, 7179, 14358, 21537, 43074. There are 12 integers that are factors of 43074. The greatest factor of 43074 is 43074.

4. How to Find the LCM of 43069 and 43074?

Answer:

Least Common Multiple of 43069 and 43074 = 1855154106

Step 1: Find the prime factorization of 43069

43069 = 13 x 3313

Step 2: Find the prime factorization of 43074

43074 = 2 x 3 x 3 x 2393

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1855154106 = 2 x 3 x 3 x 13 x 2393 x 3313

Step 4: Therefore, the least common multiple of 43069 and 43074 is 1855154106.