Least Common Multiple of 1226 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 1226 and 1233 the smallest integer that is 1511658 that is divisible by both numbers.

Least Common Multiple (LCM) of 1226 and 1233 is 1511658.

LCM(1226,1233) = 1511658

LCM of 1226 and 1233

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

LCM of:
and

Least Common Multiple of 1226 and 1233

LCM of 1226 and 1233 is 1511658

Least common multiple can be found by multiplying the highest exponent prime factors of 1226 and 1233. First we will calculate the prime factors of 1226 and 1233.

Prime Factorization of 1226


2 1226
613 613
1

Prime factors of 1226 are 2,613. Prime factorization of 1226 in exponential form is:

1226 = 21×6131

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 1226 and 1233.

LCM(1226,1233) = 21×32×1371×6131
LCM(1226,1233) = 1511658

Factors of 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1, 2, 613, 1226

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 1226 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 1226 and 1233, than apply into the LCM equation.

GCF(1226,1233) = 1
LCM(1226,1233) = ( 1226 × 1233) / 1
LCM(1226,1233) = 1511658 / 1
LCM(1226,1233) = 1511658

Properties of LCM 1226 and 1233

(i) The LCM of 1233 and 1226 is associative

LCM of 1226 and 1233 = LCM of 1233 and 1226

Related Least Common Multiples of 1226

Related Least Common Multiples of 1233

Frequently Asked Questions on LCM of 1226 and 1233

1. What is the LCM of 1226 and 1233?

Answer: LCM of 1226 and 1233 is 1511658.

2. What are the Factors of 1226?

Answer: Factors of 1226 are 1, 2, 613, 1226. There are 4 integers that are factors of 1226. The greatest factor of 1226 is 1226.

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 1226 and 1233?

Answer:

Least Common Multiple of 1226 and 1233 = 1511658

Step 1: Find the prime factorization of 1226

1226 = 2 x 613

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 = 1511658 = 2 x 3 x 3 x 137 x 613

Step 4: Therefore, the least common multiple of 1226 and 1233 is 1511658.