Least Common Multiple of 36127 and 36134

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

• Least Common Multiple of 36127 and 36134 by Prime method
• Least Common Multiple of 36127 and 36134 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36127 and 36134. First we will calculate the prime factors of 36127 and 36134.

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 36134

Prime factors of 36134 are 2, 7, 29,89. Prime factorization of 36134 in exponential form is:

36134 = 2¹×7¹×29¹×89¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36127 and 36134.

LCM(36127,36134) = 2¹×7¹×13¹×29¹×89¹×397¹
LCM(36127,36134) = 186487574

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 36134

List of positive integer factors of 36134 that divides 36134 without a remainder.

1, 2, 7, 14, 29, 58, 89, 178, 203, 406, 623, 1246, 2581, 5162, 18067, 36134

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36127 and 36134, than apply into the LCM equation.

GCF(36127,36134) = 7
LCM(36127,36134) = ( 36127 × 36134) / 7
LCM(36127,36134) = 1305413018 / 7
LCM(36127,36134) = 186487574

(i) The LCM of 36134 and 36127 is associative

LCM of 36127 and 36134 = LCM of 36134 and 36127

1. What is the LCM of 36127 and 36134?

Answer: LCM of 36127 and 36134 is 186487574.

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 36134?

Answer: Factors of 36134 are 1, 2, 7, 14, 29, 58, 89, 178, 203, 406, 623, 1246, 2581, 5162, 18067, 36134. There are 16 integers that are factors of 36134. The greatest factor of 36134 is 36134.

4. How to Find the LCM of 36127 and 36134?

Answer:

Least Common Multiple of 36127 and 36134 = 186487574

Step 1: Find the prime factorization of 36127

36127 = 7 x 13 x 397

Step 2: Find the prime factorization of 36134

36134 = 2 x 7 x 29 x 89

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

LCM = 186487574 = 2 x 7 x 13 x 29 x 89 x 397

Step 4: Therefore, the least common multiple of 36127 and 36134 is 186487574.