Least Common Multiple of 1228 and 1233

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 1233 the smallest integer that is 1514124 that is divisible by both numbers.

Least Common Multiple (LCM) of 1228 and 1233 is 1514124.

LCM(1228,1233) = 1514124

LCM of 1228 and 1233

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

LCM of:
and

Least Common Multiple of 1228 and 1233

LCM of 1228 and 1233 is 1514124

Least common multiple can be found by multiplying the highest exponent prime factors of 1228 and 1233. First we will calculate the prime factors of 1228 and 1233.

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 1233


3 1233
3 411
137 137
1

Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:

1233 = 32×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1228 and 1233.

LCM(1228,1233) = 22×32×1371×3071
LCM(1228,1233) = 1514124

Factors of 1228

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

1, 2, 4, 307, 614, 1228

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1, 3, 9, 137, 411, 1233

Least Common Multiple of 1228 and 1233 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 1233, than apply into the LCM equation.

GCF(1228,1233) = 1
LCM(1228,1233) = ( 1228 × 1233) / 1
LCM(1228,1233) = 1514124 / 1
LCM(1228,1233) = 1514124

Properties of LCM 1228 and 1233

(i) The LCM of 1233 and 1228 is associative

LCM of 1228 and 1233 = LCM of 1233 and 1228

Related Least Common Multiples of 1228

Related Least Common Multiples of 1233

Frequently Asked Questions on LCM of 1228 and 1233

1. What is the LCM of 1228 and 1233?

Answer: LCM of 1228 and 1233 is 1514124.

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 1233?

Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.

4. How to Find the LCM of 1228 and 1233?

Answer:

Least Common Multiple of 1228 and 1233 = 1514124

Step 1: Find the prime factorization of 1228

1228 = 2 x 2 x 307

Step 2: Find the prime factorization of 1233

1233 = 3 x 3 x 137

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

LCM = 1514124 = 2 x 2 x 3 x 3 x 137 x 307

Step 4: Therefore, the least common multiple of 1228 and 1233 is 1514124.