Least Common Multiple of 1234 and 1238

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 1238 the smallest integer that is 763846 that is divisible by both numbers.

Least Common Multiple (LCM) of 1234 and 1238 is 763846.

LCM(1234,1238) = 763846

LCM of 1234 and 1238

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

LCM of:
and

Least Common Multiple of 1234 and 1238

LCM of 1234 and 1238 is 763846

Least common multiple can be found by multiplying the highest exponent prime factors of 1234 and 1238. First we will calculate the prime factors of 1234 and 1238.

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 1238


2 1238
619 619
1

Prime factors of 1238 are 2,619. Prime factorization of 1238 in exponential form is:

1238 = 21×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 1234 and 1238.

LCM(1234,1238) = 21×6171×6191
LCM(1234,1238) = 763846

Factors of 1234

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

1, 2, 617, 1234

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1, 2, 619, 1238

Least Common Multiple of 1234 and 1238 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 1238, than apply into the LCM equation.

GCF(1234,1238) = 2
LCM(1234,1238) = ( 1234 × 1238) / 2
LCM(1234,1238) = 1527692 / 2
LCM(1234,1238) = 763846

Properties of LCM 1234 and 1238

(i) The LCM of 1238 and 1234 is associative

LCM of 1234 and 1238 = LCM of 1238 and 1234

Related Least Common Multiples of 1234

Related Least Common Multiples of 1238

Frequently Asked Questions on LCM of 1234 and 1238

1. What is the LCM of 1234 and 1238?

Answer: LCM of 1234 and 1238 is 763846.

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 1238?

Answer: Factors of 1238 are 1, 2, 619, 1238. There are 4 integers that are factors of 1238. The greatest factor of 1238 is 1238.

4. How to Find the LCM of 1234 and 1238?

Answer:

Least Common Multiple of 1234 and 1238 = 763846

Step 1: Find the prime factorization of 1234

1234 = 2 x 617

Step 2: Find the prime factorization of 1238

1238 = 2 x 619

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

LCM = 763846 = 2 x 617 x 619

Step 4: Therefore, the least common multiple of 1234 and 1238 is 763846.