Least Common Multiple of 1119 and 1125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1119 and 1125 the smallest integer that is 419625 that is divisible by both numbers.

Least Common Multiple (LCM) of 1119 and 1125 is 419625.

LCM(1119,1125) = 419625

LCM of 1119 and 1125

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

LCM of:
and

Least Common Multiple of 1119 and 1125

LCM of 1119 and 1125 is 419625

Least common multiple can be found by multiplying the highest exponent prime factors of 1119 and 1125. First we will calculate the prime factors of 1119 and 1125.

Prime Factorization of 1119


3 1119
373 373
1

Prime factors of 1119 are 3,373. Prime factorization of 1119 in exponential form is:

1119 = 31×3731

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 1119 and 1125.

LCM(1119,1125) = 32×53×3731
LCM(1119,1125) = 419625

Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1, 3, 373, 1119

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

Least Common Multiple of 1119 and 1125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1119 and 1125, than apply into the LCM equation.

GCF(1119,1125) = 3
LCM(1119,1125) = ( 1119 × 1125) / 3
LCM(1119,1125) = 1258875 / 3
LCM(1119,1125) = 419625

Properties of LCM 1119 and 1125

(i) The LCM of 1125 and 1119 is associative

LCM of 1119 and 1125 = LCM of 1125 and 1119

Related Least Common Multiples of 1119

Related Least Common Multiples of 1125

Frequently Asked Questions on LCM of 1119 and 1125

1. What is the LCM of 1119 and 1125?

Answer: LCM of 1119 and 1125 is 419625.

2. What are the Factors of 1119?

Answer: Factors of 1119 are 1, 3, 373, 1119. There are 4 integers that are factors of 1119. The greatest factor of 1119 is 1119.

3. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

4. How to Find the LCM of 1119 and 1125?

Answer:

Least Common Multiple of 1119 and 1125 = 419625

Step 1: Find the prime factorization of 1119

1119 = 3 x 373

Step 2: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

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

LCM = 419625 = 3 x 3 x 5 x 5 x 5 x 373

Step 4: Therefore, the least common multiple of 1119 and 1125 is 419625.