Least Common Multiple of 1237 and 1240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1237 and 1240 the smallest integer that is 1533880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1237 and 1240 is 1533880.

LCM(1237,1240) = 1533880

LCM of 1237 and 1240

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

LCM of:
and

Least Common Multiple of 1237 and 1240

LCM of 1237 and 1240 is 1533880

Least common multiple can be found by multiplying the highest exponent prime factors of 1237 and 1240. First we will calculate the prime factors of 1237 and 1240.

Prime Factorization of 1237


1237 1237
1

Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:

1237 = 12371

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2, 5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1237 and 1240.

LCM(1237,1240) = 23×51×311×12371
LCM(1237,1240) = 1533880

Factors of 1237

List of positive integer factors of 1237 that divides 1237 without a remainder.

1, 1237

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240

Least Common Multiple of 1237 and 1240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1237 and 1240, than apply into the LCM equation.

GCF(1237,1240) = 1
LCM(1237,1240) = ( 1237 × 1240) / 1
LCM(1237,1240) = 1533880 / 1
LCM(1237,1240) = 1533880

Properties of LCM 1237 and 1240

(i) The LCM of 1240 and 1237 is associative

LCM of 1237 and 1240 = LCM of 1240 and 1237

Related Least Common Multiples of 1237

Related Least Common Multiples of 1240

Frequently Asked Questions on LCM of 1237 and 1240

1. What is the LCM of 1237 and 1240?

Answer: LCM of 1237 and 1240 is 1533880.

2. What are the Factors of 1237?

Answer: Factors of 1237 are 1, 1237. There are 2 integers that are factors of 1237. The greatest factor of 1237 is 1237.

3. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

4. How to Find the LCM of 1237 and 1240?

Answer:

Least Common Multiple of 1237 and 1240 = 1533880

Step 1: Find the prime factorization of 1237

1237 = 1237

Step 2: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

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

LCM = 1533880 = 2 x 2 x 2 x 5 x 31 x 1237

Step 4: Therefore, the least common multiple of 1237 and 1240 is 1533880.