Least Common Multiple of 39026 and 39033

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

• Least Common Multiple of 39026 and 39033 by Prime method
• Least Common Multiple of 39026 and 39033 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39026 and 39033. First we will calculate the prime factors of 39026 and 39033.

Prime Factorization of 39026

Prime factors of 39026 are 2, 13, 19,79. Prime factorization of 39026 in exponential form is:

39026 = 2¹×13¹×19¹×79¹

Prime Factorization of 39033

Prime factors of 39033 are 3,4337. Prime factorization of 39033 in exponential form is:

39033 = 3²×4337¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39026 and 39033.

LCM(39026,39033) = 2¹×3²×13¹×19¹×79¹×4337¹
LCM(39026,39033) = 1523301858

Factors of 39026

List of positive integer factors of 39026 that divides 39026 without a remainder.

1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026

Factors of 39033

List of positive integer factors of 39033 that divides 39033 without a remainder.

1, 3, 9, 4337, 13011, 39033

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39026 and 39033, than apply into the LCM equation.

GCF(39026,39033) = 1
LCM(39026,39033) = ( 39026 × 39033) / 1
LCM(39026,39033) = 1523301858 / 1
LCM(39026,39033) = 1523301858

(i) The LCM of 39033 and 39026 is associative

LCM of 39026 and 39033 = LCM of 39033 and 39026

1. What is the LCM of 39026 and 39033?

Answer: LCM of 39026 and 39033 is 1523301858.

2. What are the Factors of 39026?

Answer: Factors of 39026 are 1, 2, 13, 19, 26, 38, 79, 158, 247, 494, 1027, 1501, 2054, 3002, 19513, 39026. There are 16 integers that are factors of 39026. The greatest factor of 39026 is 39026.

3. What are the Factors of 39033?

Answer: Factors of 39033 are 1, 3, 9, 4337, 13011, 39033. There are 6 integers that are factors of 39033. The greatest factor of 39033 is 39033.

4. How to Find the LCM of 39026 and 39033?

Answer:

Least Common Multiple of 39026 and 39033 = 1523301858

Step 1: Find the prime factorization of 39026

39026 = 2 x 13 x 19 x 79

Step 2: Find the prime factorization of 39033

39033 = 3 x 3 x 4337

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

LCM = 1523301858 = 2 x 3 x 3 x 13 x 19 x 79 x 4337

Step 4: Therefore, the least common multiple of 39026 and 39033 is 1523301858.