Least Common Multiple of 137 and 145

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 145 the smallest integer that is 19865 that is divisible by both numbers.

Least Common Multiple (LCM) of 137 and 145 is 19865.

LCM(137,145) = 19865

LCM of 137 and 145

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

LCM of:
and

Least Common Multiple of 137 and 145

LCM of 137 and 145 is 19865

Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 145. First we will calculate the prime factors of 137 and 145.

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 145


5 145
29 29
1

Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:

145 = 51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 137 and 145.

LCM(137,145) = 51×291×1371
LCM(137,145) = 19865

Factors of 137

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

1, 137

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Least Common Multiple of 137 and 145 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 145, than apply into the LCM equation.

GCF(137,145) = 1
LCM(137,145) = ( 137 × 145) / 1
LCM(137,145) = 19865 / 1
LCM(137,145) = 19865

Properties of LCM 137 and 145

(i) The LCM of 145 and 137 is associative

LCM of 137 and 145 = LCM of 145 and 137

Related Least Common Multiples of 137

Related Least Common Multiples of 145

Frequently Asked Questions on LCM of 137 and 145

1. What is the LCM of 137 and 145?

Answer: LCM of 137 and 145 is 19865.

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 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

4. How to Find the LCM of 137 and 145?

Answer:

Least Common Multiple of 137 and 145 = 19865

Step 1: Find the prime factorization of 137

137 = 137

Step 2: Find the prime factorization of 145

145 = 5 x 29

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

LCM = 19865 = 5 x 29 x 137

Step 4: Therefore, the least common multiple of 137 and 145 is 19865.