Least Common Multiple of 36121 and 36126

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

• Least Common Multiple of 36121 and 36126 by Prime method
• Least Common Multiple of 36121 and 36126 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36121 and 36126. First we will calculate the prime factors of 36121 and 36126.

Prime Factorization of 36121

Prime factors of 36121 are 41,881. Prime factorization of 36121 in exponential form is:

36121 = 41¹×881¹

Prime Factorization of 36126

Prime factors of 36126 are 2, 3,223. Prime factorization of 36126 in exponential form is:

36126 = 2¹×3⁴×223¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36121 and 36126.

LCM(36121,36126) = 2¹×3⁴×41¹×223¹×881¹
LCM(36121,36126) = 1304907246

Factors of 36121

List of positive integer factors of 36121 that divides 36121 without a remainder.

1, 41, 881, 36121

Factors of 36126

List of positive integer factors of 36126 that divides 36126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063, 36126

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36121 and 36126, than apply into the LCM equation.

GCF(36121,36126) = 1
LCM(36121,36126) = ( 36121 × 36126) / 1
LCM(36121,36126) = 1304907246 / 1
LCM(36121,36126) = 1304907246

(i) The LCM of 36126 and 36121 is associative

LCM of 36121 and 36126 = LCM of 36126 and 36121

1. What is the LCM of 36121 and 36126?

Answer: LCM of 36121 and 36126 is 1304907246.

2. What are the Factors of 36121?

Answer: Factors of 36121 are 1, 41, 881, 36121. There are 4 integers that are factors of 36121. The greatest factor of 36121 is 36121.

3. What are the Factors of 36126?

Answer: Factors of 36126 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063, 36126. There are 20 integers that are factors of 36126. The greatest factor of 36126 is 36126.

4. How to Find the LCM of 36121 and 36126?

Answer:

Least Common Multiple of 36121 and 36126 = 1304907246

Step 1: Find the prime factorization of 36121

36121 = 41 x 881

Step 2: Find the prime factorization of 36126

36126 = 2 x 3 x 3 x 3 x 3 x 223

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

LCM = 1304907246 = 2 x 3 x 3 x 3 x 3 x 41 x 223 x 881

Step 4: Therefore, the least common multiple of 36121 and 36126 is 1304907246.