Least Common Multiple of 1238 and 1243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1238 and 1243 the smallest integer that is 1538834 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1243 is 1538834.

LCM(1238,1243) = 1538834

LCM of 1238 and 1243

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

LCM of:
and

Least Common Multiple of 1238 and 1243

LCM of 1238 and 1243 is 1538834

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1243. First we will calculate the prime factors of 1238 and 1243.

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

Prime Factorization of 1243


11 1243
113 113
1

Prime factors of 1243 are 11,113. Prime factorization of 1243 in exponential form is:

1243 = 111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1243.

LCM(1238,1243) = 21×111×1131×6191
LCM(1238,1243) = 1538834

Factors of 1238

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

1, 2, 619, 1238

Factors of 1243

List of positive integer factors of 1243 that divides 1243 without a remainder.

1, 11, 113, 1243

Least Common Multiple of 1238 and 1243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1238 and 1243, than apply into the LCM equation.

GCF(1238,1243) = 1
LCM(1238,1243) = ( 1238 × 1243) / 1
LCM(1238,1243) = 1538834 / 1
LCM(1238,1243) = 1538834

Properties of LCM 1238 and 1243

(i) The LCM of 1243 and 1238 is associative

LCM of 1238 and 1243 = LCM of 1243 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1243

Frequently Asked Questions on LCM of 1238 and 1243

1. What is the LCM of 1238 and 1243?

Answer: LCM of 1238 and 1243 is 1538834.

2. 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.

3. What are the Factors of 1243?

Answer: Factors of 1243 are 1, 11, 113, 1243. There are 4 integers that are factors of 1243. The greatest factor of 1243 is 1243.

4. How to Find the LCM of 1238 and 1243?

Answer:

Least Common Multiple of 1238 and 1243 = 1538834

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1243

1243 = 11 x 113

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

LCM = 1538834 = 2 x 11 x 113 x 619

Step 4: Therefore, the least common multiple of 1238 and 1243 is 1538834.