Least Common Multiple of 1228 and 1234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1228 and 1234 the smallest integer that is 757676 that is divisible by both numbers.

Least Common Multiple (LCM) of 1228 and 1234 is 757676.

LCM(1228,1234) = 757676

LCM of 1228 and 1234

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

LCM of:
and

Least Common Multiple of 1228 and 1234

LCM of 1228 and 1234 is 757676

Least common multiple can be found by multiplying the highest exponent prime factors of 1228 and 1234. First we will calculate the prime factors of 1228 and 1234.

Prime Factorization of 1228


2 1228
2 614
307 307
1

Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:

1228 = 22×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1228 and 1234.

LCM(1228,1234) = 22×3071×6171
LCM(1228,1234) = 757676

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1, 2, 4, 307, 614, 1228

Factors of 1234

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

1, 2, 617, 1234

Least Common Multiple of 1228 and 1234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1228 and 1234, than apply into the LCM equation.

GCF(1228,1234) = 2
LCM(1228,1234) = ( 1228 × 1234) / 2
LCM(1228,1234) = 1515352 / 2
LCM(1228,1234) = 757676

Properties of LCM 1228 and 1234

(i) The LCM of 1234 and 1228 is associative

LCM of 1228 and 1234 = LCM of 1234 and 1228

Related Least Common Multiples of 1228

Related Least Common Multiples of 1234

Frequently Asked Questions on LCM of 1228 and 1234

1. What is the LCM of 1228 and 1234?

Answer: LCM of 1228 and 1234 is 757676.

2. What are the Factors of 1228?

Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.

3. 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.

4. How to Find the LCM of 1228 and 1234?

Answer:

Least Common Multiple of 1228 and 1234 = 757676

Step 1: Find the prime factorization of 1228

1228 = 2 x 2 x 307

Step 2: Find the prime factorization of 1234

1234 = 2 x 617

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

LCM = 757676 = 2 x 2 x 307 x 617

Step 4: Therefore, the least common multiple of 1228 and 1234 is 757676.