Least Common Multiple of 1229 and 1237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1229 and 1237 the smallest integer that is 1520273 that is divisible by both numbers.

Least Common Multiple (LCM) of 1229 and 1237 is 1520273.

LCM(1229,1237) = 1520273

LCM of 1229 and 1237

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

LCM of:
and

Least Common Multiple of 1229 and 1237

LCM of 1229 and 1237 is 1520273

Least common multiple can be found by multiplying the highest exponent prime factors of 1229 and 1237. First we will calculate the prime factors of 1229 and 1237.

Prime Factorization of 1229


1229 1229
1

Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:

1229 = 12291

Prime Factorization of 1237


1237 1237
1

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

1237 = 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 1229 and 1237.

LCM(1229,1237) = 12291×12371
LCM(1229,1237) = 1520273

Factors of 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1, 1229

Factors of 1237

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

1, 1237

Least Common Multiple of 1229 and 1237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1229 and 1237, than apply into the LCM equation.

GCF(1229,1237) = 1
LCM(1229,1237) = ( 1229 × 1237) / 1
LCM(1229,1237) = 1520273 / 1
LCM(1229,1237) = 1520273

Properties of LCM 1229 and 1237

(i) The LCM of 1237 and 1229 is associative

LCM of 1229 and 1237 = LCM of 1237 and 1229

Related Least Common Multiples of 1229

Related Least Common Multiples of 1237

Frequently Asked Questions on LCM of 1229 and 1237

1. What is the LCM of 1229 and 1237?

Answer: LCM of 1229 and 1237 is 1520273.

2. What are the Factors of 1229?

Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.

3. 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.

4. How to Find the LCM of 1229 and 1237?

Answer:

Least Common Multiple of 1229 and 1237 = 1520273

Step 1: Find the prime factorization of 1229

1229 = 1229

Step 2: Find the prime factorization of 1237

1237 = 1237

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

LCM = 1520273 = 1229 x 1237

Step 4: Therefore, the least common multiple of 1229 and 1237 is 1520273.