Least Common Multiple of 137 and 144

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 144 the smallest integer that is 19728 that is divisible by both numbers.

Least Common Multiple (LCM) of 137 and 144 is 19728.

LCM(137,144) = 19728

LCM of 137 and 144

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

LCM of:
and

Least Common Multiple of 137 and 144

LCM of 137 and 144 is 19728

Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 144. First we will calculate the prime factors of 137 and 144.

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 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

Now multiplying the highest exponent prime factors to calculate the LCM of 137 and 144.

LCM(137,144) = 24×32×1371
LCM(137,144) = 19728

Factors of 137

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

1, 137

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Least Common Multiple of 137 and 144 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 144, than apply into the LCM equation.

GCF(137,144) = 1
LCM(137,144) = ( 137 × 144) / 1
LCM(137,144) = 19728 / 1
LCM(137,144) = 19728

Properties of LCM 137 and 144

(i) The LCM of 144 and 137 is associative

LCM of 137 and 144 = LCM of 144 and 137

Related Least Common Multiples of 137

Related Least Common Multiples of 144

Frequently Asked Questions on LCM of 137 and 144

1. What is the LCM of 137 and 144?

Answer: LCM of 137 and 144 is 19728.

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 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

4. How to Find the LCM of 137 and 144?

Answer:

Least Common Multiple of 137 and 144 = 19728

Step 1: Find the prime factorization of 137

137 = 137

Step 2: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 19728 = 2 x 2 x 2 x 2 x 3 x 3 x 137

Step 4: Therefore, the least common multiple of 137 and 144 is 19728.