Least Common Multiple of 1220 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 1220 and 1225 the smallest integer that is 298900 that is divisible by both numbers.

Least Common Multiple (LCM) of 1220 and 1225 is 298900.

LCM(1220,1225) = 298900

LCM of 1220 and 1225

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

LCM of:
and

Least Common Multiple of 1220 and 1225

LCM of 1220 and 1225 is 298900

Least common multiple can be found by multiplying the highest exponent prime factors of 1220 and 1225. First we will calculate the prime factors of 1220 and 1225.

Prime Factorization of 1220


2 1220
2 610
5 305
61 61
1

Prime factors of 1220 are 2, 5,61. Prime factorization of 1220 in exponential form is:

1220 = 22×51×611

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 1220 and 1225.

LCM(1220,1225) = 22×52×72×611
LCM(1220,1225) = 298900

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220

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 1220 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 1220 and 1225, than apply into the LCM equation.

GCF(1220,1225) = 5
LCM(1220,1225) = ( 1220 × 1225) / 5
LCM(1220,1225) = 1494500 / 5
LCM(1220,1225) = 298900

Properties of LCM 1220 and 1225

(i) The LCM of 1225 and 1220 is associative

LCM of 1220 and 1225 = LCM of 1225 and 1220

Related Least Common Multiples of 1220

Related Least Common Multiples of 1225

Frequently Asked Questions on LCM of 1220 and 1225

1. What is the LCM of 1220 and 1225?

Answer: LCM of 1220 and 1225 is 298900.

2. What are the Factors of 1220?

Answer: Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220. There are 12 integers that are factors of 1220. The greatest factor of 1220 is 1220.

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 1220 and 1225?

Answer:

Least Common Multiple of 1220 and 1225 = 298900

Step 1: Find the prime factorization of 1220

1220 = 2 x 2 x 5 x 61

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 = 298900 = 2 x 2 x 5 x 5 x 7 x 7 x 61

Step 4: Therefore, the least common multiple of 1220 and 1225 is 298900.