Least Common Multiple of 1234 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 1234 and 1240 the smallest integer that is 765080 that is divisible by both numbers.

Least Common Multiple (LCM) of 1234 and 1240 is 765080.

LCM(1234,1240) = 765080

LCM of 1234 and 1240

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

LCM of:
and

Least Common Multiple of 1234 and 1240

LCM of 1234 and 1240 is 765080

Least common multiple can be found by multiplying the highest exponent prime factors of 1234 and 1240. First we will calculate the prime factors of 1234 and 1240.

Prime Factorization of 1234


2 1234
617 617
1

Prime factors of 1234 are 2,617. Prime factorization of 1234 in exponential form is:

1234 = 21×6171

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 1234 and 1240.

LCM(1234,1240) = 23×51×311×6171
LCM(1234,1240) = 765080

Factors of 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1, 2, 617, 1234

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 1234 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 1234 and 1240, than apply into the LCM equation.

GCF(1234,1240) = 2
LCM(1234,1240) = ( 1234 × 1240) / 2
LCM(1234,1240) = 1530160 / 2
LCM(1234,1240) = 765080

Properties of LCM 1234 and 1240

(i) The LCM of 1240 and 1234 is associative

LCM of 1234 and 1240 = LCM of 1240 and 1234

Related Least Common Multiples of 1234

Related Least Common Multiples of 1240

Frequently Asked Questions on LCM of 1234 and 1240

1. What is the LCM of 1234 and 1240?

Answer: LCM of 1234 and 1240 is 765080.

2. What are the Factors of 1234?

Answer: Factors of 1234 are 1, 2, 617, 1234. There are 4 integers that are factors of 1234. The greatest factor of 1234 is 1234.

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 1234 and 1240?

Answer:

Least Common Multiple of 1234 and 1240 = 765080

Step 1: Find the prime factorization of 1234

1234 = 2 x 617

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 = 765080 = 2 x 2 x 2 x 5 x 31 x 617

Step 4: Therefore, the least common multiple of 1234 and 1240 is 765080.