Least Common Multiple of 36114 and 36121

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

• Least Common Multiple of 36114 and 36121 by Prime method
• Least Common Multiple of 36114 and 36121 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36114 and 36121. First we will calculate the prime factors of 36114 and 36121.

Prime Factorization of 36114

Prime factors of 36114 are 2, 3, 13,463. Prime factorization of 36114 in exponential form is:

36114 = 2¹×3¹×13¹×463¹

Prime Factorization of 36121

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

36121 = 41¹×881¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36114 and 36121.

LCM(36114,36121) = 2¹×3¹×13¹×41¹×463¹×881¹
LCM(36114,36121) = 1304473794

Factors of 36114

List of positive integer factors of 36114 that divides 36114 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 463, 926, 1389, 2778, 6019, 12038, 18057, 36114

Factors of 36121

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

1, 41, 881, 36121

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36114 and 36121, than apply into the LCM equation.

GCF(36114,36121) = 1
LCM(36114,36121) = ( 36114 × 36121) / 1
LCM(36114,36121) = 1304473794 / 1
LCM(36114,36121) = 1304473794

(i) The LCM of 36121 and 36114 is associative

LCM of 36114 and 36121 = LCM of 36121 and 36114

1. What is the LCM of 36114 and 36121?

Answer: LCM of 36114 and 36121 is 1304473794.

2. What are the Factors of 36114?

Answer: Factors of 36114 are 1, 2, 3, 6, 13, 26, 39, 78, 463, 926, 1389, 2778, 6019, 12038, 18057, 36114. There are 16 integers that are factors of 36114. The greatest factor of 36114 is 36114.

3. 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.

4. How to Find the LCM of 36114 and 36121?

Answer:

Least Common Multiple of 36114 and 36121 = 1304473794

Step 1: Find the prime factorization of 36114

36114 = 2 x 3 x 13 x 463

Step 2: Find the prime factorization of 36121

36121 = 41 x 881

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

LCM = 1304473794 = 2 x 3 x 13 x 41 x 463 x 881

Step 4: Therefore, the least common multiple of 36114 and 36121 is 1304473794.