Least Common Multiple of 1238 and 1246

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 1246 the smallest integer that is 771274 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1246 is 771274.

LCM(1238,1246) = 771274

LCM of 1238 and 1246

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

LCM of:
and

Least Common Multiple of 1238 and 1246

LCM of 1238 and 1246 is 771274

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1246. First we will calculate the prime factors of 1238 and 1246.

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 1246


2 1246
7 623
89 89
1

Prime factors of 1246 are 2, 7,89. Prime factorization of 1246 in exponential form is:

1246 = 21×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1246.

LCM(1238,1246) = 21×71×891×6191
LCM(1238,1246) = 771274

Factors of 1238

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

1, 2, 619, 1238

Factors of 1246

List of positive integer factors of 1246 that divides 1246 without a remainder.

1, 2, 7, 14, 89, 178, 623, 1246

Least Common Multiple of 1238 and 1246 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 1246, than apply into the LCM equation.

GCF(1238,1246) = 2
LCM(1238,1246) = ( 1238 × 1246) / 2
LCM(1238,1246) = 1542548 / 2
LCM(1238,1246) = 771274

Properties of LCM 1238 and 1246

(i) The LCM of 1246 and 1238 is associative

LCM of 1238 and 1246 = LCM of 1246 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1246

Frequently Asked Questions on LCM of 1238 and 1246

1. What is the LCM of 1238 and 1246?

Answer: LCM of 1238 and 1246 is 771274.

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 1246?

Answer: Factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246. There are 8 integers that are factors of 1246. The greatest factor of 1246 is 1246.

4. How to Find the LCM of 1238 and 1246?

Answer:

Least Common Multiple of 1238 and 1246 = 771274

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1246

1246 = 2 x 7 x 89

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

LCM = 771274 = 2 x 7 x 89 x 619

Step 4: Therefore, the least common multiple of 1238 and 1246 is 771274.