Least Common Multiple of 36126 and 36132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36126 and 36132 the smallest integer that is 217550772 that is divisible by both numbers.

Least Common Multiple (LCM) of 36126 and 36132 is 217550772.

LCM(36126,36132) = 217550772

LCM of 36126 and 36132

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

LCM of:
and

Least Common Multiple of 36126 and 36132

LCM of 36126 and 36132 is 217550772

Least common multiple can be found by multiplying the highest exponent prime factors of 36126 and 36132. First we will calculate the prime factors of 36126 and 36132.

Prime Factorization of 36126


2 36126
3 18063
3 6021
3 2007
3 669
223 223
1

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

36126 = 21×34×2231

Prime Factorization of 36132


2 36132
2 18066
3 9033
3011 3011
1

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 36126 and 36132.

LCM(36126,36132) = 22×34×2231×30111
LCM(36126,36132) = 217550772

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

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

Least Common Multiple of 36126 and 36132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36126 and 36132, than apply into the LCM equation.

GCF(36126,36132) = 6
LCM(36126,36132) = ( 36126 × 36132) / 6
LCM(36126,36132) = 1305304632 / 6
LCM(36126,36132) = 217550772

Properties of LCM 36126 and 36132

(i) The LCM of 36132 and 36126 is associative

LCM of 36126 and 36132 = LCM of 36132 and 36126

Related Least Common Multiples of 36126

Related Least Common Multiples of 36132

Frequently Asked Questions on LCM of 36126 and 36132

1. What is the LCM of 36126 and 36132?

Answer: LCM of 36126 and 36132 is 217550772.

2. 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.

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 36126 and 36132?

Answer:

Least Common Multiple of 36126 and 36132 = 217550772

Step 1: Find the prime factorization of 36126

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

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 = 217550772 = 2 x 2 x 3 x 3 x 3 x 3 x 223 x 3011

Step 4: Therefore, the least common multiple of 36126 and 36132 is 217550772.