Least Common Multiple of 1219 and 1225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1219 and 1225 the smallest integer that is 1493275 that is divisible by both numbers.

Least Common Multiple (LCM) of 1219 and 1225 is 1493275.

LCM(1219,1225) = 1493275

LCM of 1219 and 1225

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

LCM of:
and

Least Common Multiple of 1219 and 1225

LCM of 1219 and 1225 is 1493275

Least common multiple can be found by multiplying the highest exponent prime factors of 1219 and 1225. First we will calculate the prime factors of 1219 and 1225.

Prime Factorization of 1219


23 1219
53 53
1

Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:

1219 = 231×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1219 and 1225.

LCM(1219,1225) = 52×72×231×531
LCM(1219,1225) = 1493275

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1, 23, 53, 1219

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

Least Common Multiple of 1219 and 1225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1219 and 1225, than apply into the LCM equation.

GCF(1219,1225) = 1
LCM(1219,1225) = ( 1219 × 1225) / 1
LCM(1219,1225) = 1493275 / 1
LCM(1219,1225) = 1493275

Properties of LCM 1219 and 1225

(i) The LCM of 1225 and 1219 is associative

LCM of 1219 and 1225 = LCM of 1225 and 1219

Related Least Common Multiples of 1219

Related Least Common Multiples of 1225

Frequently Asked Questions on LCM of 1219 and 1225

1. What is the LCM of 1219 and 1225?

Answer: LCM of 1219 and 1225 is 1493275.

2. What are the Factors of 1219?

Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.

3. 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.

4. How to Find the LCM of 1219 and 1225?

Answer:

Least Common Multiple of 1219 and 1225 = 1493275

Step 1: Find the prime factorization of 1219

1219 = 23 x 53

Step 2: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

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

LCM = 1493275 = 5 x 5 x 7 x 7 x 23 x 53

Step 4: Therefore, the least common multiple of 1219 and 1225 is 1493275.