Least Common Multiple of 20 and 37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 20 and 37 the smallest integer that is 740 that is divisible by both numbers.

Least Common Multiple (LCM) of 20 and 37 is 740.

LCM(20,37) = 740

LCM of 20 and 37

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

LCM of:
and

Least Common Multiple of 20 and 37

LCM of 20 and 37 is 740

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 37. First we will calculate the prime factors of 20 and 37.

Prime Factorization of 20


2 20
2 10
5 5
1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Prime Factorization of 37


37 37
1

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371

Now multiplying the highest exponent prime factors to calculate the LCM of 20 and 37.

LCM(20,37) = 22×51×371
LCM(20,37) = 740

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1, 37

Least Common Multiple of 20 and 37 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20 and 37, than apply into the LCM equation.

GCF(20,37) = 1
LCM(20,37) = ( 20 × 37) / 1
LCM(20,37) = 740 / 1
LCM(20,37) = 740

Properties of LCM 20 and 37

(i) The LCM of 37 and 20 is associative

LCM of 20 and 37 = LCM of 37 and 20

Frequently Asked Questions on LCM of 20 and 37

1. What is the LCM of 20 and 37?

Answer: LCM of 20 and 37 is 740.

2. What are the Factors of 20?

Answer: Factors of 20 are 1, 2, 4, 5, 10, 20. There are 6 integers that are factors of 20. The greatest factor of 20 is 20.

3. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the LCM of 20 and 37?

Answer:

Least Common Multiple of 20 and 37 = 740

Step 1: Find the prime factorization of 20

20 = 2 x 2 x 5

Step 2: Find the prime factorization of 37

37 = 37

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

LCM = 740 = 2 x 2 x 5 x 37

Step 4: Therefore, the least common multiple of 20 and 37 is 740.