Least Common Multiple of 137 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 137 and 143 the smallest integer that is 19591 that is divisible by both numbers.

Least Common Multiple (LCM) of 137 and 143 is 19591.

LCM(137,143) = 19591

LCM of 137 and 143

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

LCM of:
and

Least Common Multiple of 137 and 143

LCM of 137 and 143 is 19591

Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 143. First we will calculate the prime factors of 137 and 143.

Prime Factorization of 137


137 137
1

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

137 = 1371

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 137 and 143.

LCM(137,143) = 111×131×1371
LCM(137,143) = 19591

Factors of 137

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

1, 137

Factors of 143

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

1, 11, 13, 143

Least Common Multiple of 137 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 137 and 143, than apply into the LCM equation.

GCF(137,143) = 1
LCM(137,143) = ( 137 × 143) / 1
LCM(137,143) = 19591 / 1
LCM(137,143) = 19591

Properties of LCM 137 and 143

(i) The LCM of 143 and 137 is associative

LCM of 137 and 143 = LCM of 143 and 137

Related Least Common Multiples of 137

Related Least Common Multiples of 143

Frequently Asked Questions on LCM of 137 and 143

1. What is the LCM of 137 and 143?

Answer: LCM of 137 and 143 is 19591.

2. 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.

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 137 and 143?

Answer:

Least Common Multiple of 137 and 143 = 19591

Step 1: Find the prime factorization of 137

137 = 137

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 = 19591 = 11 x 13 x 137

Step 4: Therefore, the least common multiple of 137 and 143 is 19591.