Least Common Multiple of 1226 and 1230

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 1230 the smallest integer that is 753990 that is divisible by both numbers.

Least Common Multiple (LCM) of 1226 and 1230 is 753990.

LCM(1226,1230) = 753990

LCM of 1226 and 1230

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

LCM of:
and

Least Common Multiple of 1226 and 1230

LCM of 1226 and 1230 is 753990

Least common multiple can be found by multiplying the highest exponent prime factors of 1226 and 1230. First we will calculate the prime factors of 1226 and 1230.

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 1230


2 1230
3 615
5 205
41 41
1

Prime factors of 1230 are 2, 3, 5,41. Prime factorization of 1230 in exponential form is:

1230 = 21×31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1226 and 1230.

LCM(1226,1230) = 21×31×51×411×6131
LCM(1226,1230) = 753990

Factors of 1226

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

1, 2, 613, 1226

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230

Least Common Multiple of 1226 and 1230 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 1230, than apply into the LCM equation.

GCF(1226,1230) = 2
LCM(1226,1230) = ( 1226 × 1230) / 2
LCM(1226,1230) = 1507980 / 2
LCM(1226,1230) = 753990

Properties of LCM 1226 and 1230

(i) The LCM of 1230 and 1226 is associative

LCM of 1226 and 1230 = LCM of 1230 and 1226

Related Least Common Multiples of 1226

Related Least Common Multiples of 1230

Frequently Asked Questions on LCM of 1226 and 1230

1. What is the LCM of 1226 and 1230?

Answer: LCM of 1226 and 1230 is 753990.

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 1230?

Answer: Factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230. There are 16 integers that are factors of 1230. The greatest factor of 1230 is 1230.

4. How to Find the LCM of 1226 and 1230?

Answer:

Least Common Multiple of 1226 and 1230 = 753990

Step 1: Find the prime factorization of 1226

1226 = 2 x 613

Step 2: Find the prime factorization of 1230

1230 = 2 x 3 x 5 x 41

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

LCM = 753990 = 2 x 3 x 5 x 41 x 613

Step 4: Therefore, the least common multiple of 1226 and 1230 is 753990.