Least Common Multiple of 129 and 137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 129 and 137 the smallest integer that is 17673 that is divisible by both numbers.

Least Common Multiple (LCM) of 129 and 137 is 17673.

LCM(129,137) = 17673

LCM of 129 and 137

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

LCM of:
and

Least Common Multiple of 129 and 137

LCM of 129 and 137 is 17673

Least common multiple can be found by multiplying the highest exponent prime factors of 129 and 137. First we will calculate the prime factors of 129 and 137.

Prime Factorization of 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

Prime Factorization of 137


137 137
1

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 129 and 137.

LCM(129,137) = 31×431×1371
LCM(129,137) = 17673

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1, 137

Least Common Multiple of 129 and 137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 129 and 137, than apply into the LCM equation.

GCF(129,137) = 1
LCM(129,137) = ( 129 × 137) / 1
LCM(129,137) = 17673 / 1
LCM(129,137) = 17673

Properties of LCM 129 and 137

(i) The LCM of 137 and 129 is associative

LCM of 129 and 137 = LCM of 137 and 129

Related Least Common Multiples of 129

Related Least Common Multiples of 137

Frequently Asked Questions on LCM of 129 and 137

1. What is the LCM of 129 and 137?

Answer: LCM of 129 and 137 is 17673.

2. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

3. What are the Factors of 137?

Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.

4. How to Find the LCM of 129 and 137?

Answer:

Least Common Multiple of 129 and 137 = 17673

Step 1: Find the prime factorization of 129

129 = 3 x 43

Step 2: Find the prime factorization of 137

137 = 137

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

LCM = 17673 = 3 x 43 x 137

Step 4: Therefore, the least common multiple of 129 and 137 is 17673.