Least Common Multiple of 138 and 143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 138 and 143 the smallest integer that is 19734 that is divisible by both numbers.

Least Common Multiple (LCM) of 138 and 143 is 19734.

LCM(138,143) = 19734

LCM of 138 and 143

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

LCM of:
and

Least Common Multiple of 138 and 143

LCM of 138 and 143 is 19734

Least common multiple can be found by multiplying the highest exponent prime factors of 138 and 143. First we will calculate the prime factors of 138 and 143.

Prime Factorization of 138


2 138
3 69
23 23
1

Prime factors of 138 are 2, 3,23. Prime factorization of 138 in exponential form is:

138 = 21×31×231

Prime Factorization of 143


11 143
13 13
1

Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:

143 = 111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 138 and 143.

LCM(138,143) = 21×31×111×131×231
LCM(138,143) = 19734

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Least Common Multiple of 138 and 143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 138 and 143, than apply into the LCM equation.

GCF(138,143) = 1
LCM(138,143) = ( 138 × 143) / 1
LCM(138,143) = 19734 / 1
LCM(138,143) = 19734

Properties of LCM 138 and 143

(i) The LCM of 143 and 138 is associative

LCM of 138 and 143 = LCM of 143 and 138

Related Least Common Multiples of 138

Related Least Common Multiples of 143

Frequently Asked Questions on LCM of 138 and 143

1. What is the LCM of 138 and 143?

Answer: LCM of 138 and 143 is 19734.

2. What are the Factors of 138?

Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.

3. What are the Factors of 143?

Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.

4. How to Find the LCM of 138 and 143?

Answer:

Least Common Multiple of 138 and 143 = 19734

Step 1: Find the prime factorization of 138

138 = 2 x 3 x 23

Step 2: Find the prime factorization of 143

143 = 11 x 13

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

LCM = 19734 = 2 x 3 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 138 and 143 is 19734.