Least Common Multiple of 1225 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 1225 and 1233 the smallest integer that is 1510425 that is divisible by both numbers.

Least Common Multiple (LCM) of 1225 and 1233 is 1510425.

LCM(1225,1233) = 1510425

LCM of 1225 and 1233

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

LCM of:
and

Least Common Multiple of 1225 and 1233

LCM of 1225 and 1233 is 1510425

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1233. First we will calculate the prime factors of 1225 and 1233.

Prime Factorization of 1225


5 1225
5 245
7 49
7 7
1

Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:

1225 = 52×72

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 1225 and 1233.

LCM(1225,1233) = 32×52×72×1371
LCM(1225,1233) = 1510425

Factors of 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245, 1225

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 1225 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 1225 and 1233, than apply into the LCM equation.

GCF(1225,1233) = 1
LCM(1225,1233) = ( 1225 × 1233) / 1
LCM(1225,1233) = 1510425 / 1
LCM(1225,1233) = 1510425

Properties of LCM 1225 and 1233

(i) The LCM of 1233 and 1225 is associative

LCM of 1225 and 1233 = LCM of 1233 and 1225

Related Least Common Multiples of 1225

Related Least Common Multiples of 1233

Frequently Asked Questions on LCM of 1225 and 1233

1. What is the LCM of 1225 and 1233?

Answer: LCM of 1225 and 1233 is 1510425.

2. What are the Factors of 1225?

Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.

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 1225 and 1233?

Answer:

Least Common Multiple of 1225 and 1233 = 1510425

Step 1: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

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 = 1510425 = 3 x 3 x 5 x 5 x 7 x 7 x 137

Step 4: Therefore, the least common multiple of 1225 and 1233 is 1510425.