Least Common Multiple of 36127 and 36132

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

• Least Common Multiple of 36127 and 36132 by Prime method
• Least Common Multiple of 36127 and 36132 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36127 and 36132. First we will calculate the prime factors of 36127 and 36132.

Prime Factorization of 36127

Prime factors of 36127 are 7, 13,397. Prime factorization of 36127 in exponential form is:

36127 = 7¹×13¹×397¹

Prime Factorization of 36132

Prime factors of 36132 are 2, 3,3011. Prime factorization of 36132 in exponential form is:

36132 = 2²×3¹×3011¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36127 and 36132.

LCM(36127,36132) = 2²×3¹×7¹×13¹×397¹×3011¹
LCM(36127,36132) = 1305340764

Factors of 36127

List of positive integer factors of 36127 that divides 36127 without a remainder.

1, 7, 13, 91, 397, 2779, 5161, 36127

Factors of 36132

List of positive integer factors of 36132 that divides 36132 without a remainder.

1, 2, 3, 4, 6, 12, 3011, 6022, 9033, 12044, 18066, 36132

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36127 and 36132, than apply into the LCM equation.

GCF(36127,36132) = 1
LCM(36127,36132) = ( 36127 × 36132) / 1
LCM(36127,36132) = 1305340764 / 1
LCM(36127,36132) = 1305340764

(i) The LCM of 36132 and 36127 is associative

LCM of 36127 and 36132 = LCM of 36132 and 36127

1. What is the LCM of 36127 and 36132?

Answer: LCM of 36127 and 36132 is 1305340764.

2. What are the Factors of 36127?

Answer: Factors of 36127 are 1, 7, 13, 91, 397, 2779, 5161, 36127. There are 8 integers that are factors of 36127. The greatest factor of 36127 is 36127.

3. What are the Factors of 36132?

Answer: Factors of 36132 are 1, 2, 3, 4, 6, 12, 3011, 6022, 9033, 12044, 18066, 36132. There are 12 integers that are factors of 36132. The greatest factor of 36132 is 36132.

4. How to Find the LCM of 36127 and 36132?

Answer:

Least Common Multiple of 36127 and 36132 = 1305340764

Step 1: Find the prime factorization of 36127

36127 = 7 x 13 x 397

Step 2: Find the prime factorization of 36132

36132 = 2 x 2 x 3 x 3011

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

LCM = 1305340764 = 2 x 2 x 3 x 7 x 13 x 397 x 3011

Step 4: Therefore, the least common multiple of 36127 and 36132 is 1305340764.