Least Common Multiple of 135 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 135 and 139 the smallest integer that is 18765 that is divisible by both numbers.

Least Common Multiple (LCM) of 135 and 139 is 18765.

LCM(135,139) = 18765

LCM of 135 and 139

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

LCM of:
and

Least Common Multiple of 135 and 139

LCM of 135 and 139 is 18765

Least common multiple can be found by multiplying the highest exponent prime factors of 135 and 139. First we will calculate the prime factors of 135 and 139.

Prime Factorization of 135


3 135
3 45
3 15
5 5
1

Prime factors of 135 are 3,5. Prime factorization of 135 in exponential form is:

135 = 33×51

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 135 and 139.

LCM(135,139) = 33×51×1391
LCM(135,139) = 18765

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Factors of 139

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

1, 139

Least Common Multiple of 135 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 135 and 139, than apply into the LCM equation.

GCF(135,139) = 1
LCM(135,139) = ( 135 × 139) / 1
LCM(135,139) = 18765 / 1
LCM(135,139) = 18765

Properties of LCM 135 and 139

(i) The LCM of 139 and 135 is associative

LCM of 135 and 139 = LCM of 139 and 135

Related Least Common Multiples of 135

Related Least Common Multiples of 139

Frequently Asked Questions on LCM of 135 and 139

1. What is the LCM of 135 and 139?

Answer: LCM of 135 and 139 is 18765.

2. What are the Factors of 135?

Answer: Factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. There are 8 integers that are factors of 135. The greatest factor of 135 is 135.

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 135 and 139?

Answer:

Least Common Multiple of 135 and 139 = 18765

Step 1: Find the prime factorization of 135

135 = 3 x 3 x 3 x 5

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 = 18765 = 3 x 3 x 3 x 5 x 139

Step 4: Therefore, the least common multiple of 135 and 139 is 18765.