Least Common Multiple of 132 and 139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 132 and 139 the smallest integer that is 18348 that is divisible by both numbers.

Least Common Multiple (LCM) of 132 and 139 is 18348.

LCM(132,139) = 18348

LCM of 132 and 139

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

LCM of:
and

Least Common Multiple of 132 and 139

LCM of 132 and 139 is 18348

Least common multiple can be found by multiplying the highest exponent prime factors of 132 and 139. First we will calculate the prime factors of 132 and 139.

Prime Factorization of 132


2 132
2 66
3 33
11 11
1

Prime factors of 132 are 2, 3,11. Prime factorization of 132 in exponential form is:

132 = 22×31×111

Prime Factorization of 139


139 139
1

Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:

139 = 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 132 and 139.

LCM(132,139) = 22×31×111×1391
LCM(132,139) = 18348

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1, 139

Least Common Multiple of 132 and 139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 132 and 139, than apply into the LCM equation.

GCF(132,139) = 1
LCM(132,139) = ( 132 × 139) / 1
LCM(132,139) = 18348 / 1
LCM(132,139) = 18348

Properties of LCM 132 and 139

(i) The LCM of 139 and 132 is associative

LCM of 132 and 139 = LCM of 139 and 132

Frequently Asked Questions on LCM of 132 and 139

1. What is the LCM of 132 and 139?

Answer: LCM of 132 and 139 is 18348.

2. What are the Factors of 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

3. What are the Factors of 139?

Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.

4. How to Find the LCM of 132 and 139?

Answer:

Least Common Multiple of 132 and 139 = 18348

Step 1: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 139

139 = 139

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

LCM = 18348 = 2 x 2 x 3 x 11 x 139

Step 4: Therefore, the least common multiple of 132 and 139 is 18348.