Least Common Multiple of 1145 and 1153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1145 and 1153 the smallest integer that is 1320185 that is divisible by both numbers.

Least Common Multiple (LCM) of 1145 and 1153 is 1320185.

LCM(1145,1153) = 1320185

LCM of 1145 and 1153

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

LCM of:
and

Least Common Multiple of 1145 and 1153

LCM of 1145 and 1153 is 1320185

Least common multiple can be found by multiplying the highest exponent prime factors of 1145 and 1153. First we will calculate the prime factors of 1145 and 1153.

Prime Factorization of 1145


5 1145
229 229
1

Prime factors of 1145 are 5,229. Prime factorization of 1145 in exponential form is:

1145 = 51×2291

Prime Factorization of 1153


1153 1153
1

Prime factors of 1153 are 1153. Prime factorization of 1153 in exponential form is:

1153 = 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 1145 and 1153.

LCM(1145,1153) = 51×2291×11531
LCM(1145,1153) = 1320185

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1, 5, 229, 1145

Factors of 1153

List of positive integer factors of 1153 that divides 1153 without a remainder.

1, 1153

Least Common Multiple of 1145 and 1153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1145 and 1153, than apply into the LCM equation.

GCF(1145,1153) = 1
LCM(1145,1153) = ( 1145 × 1153) / 1
LCM(1145,1153) = 1320185 / 1
LCM(1145,1153) = 1320185

Properties of LCM 1145 and 1153

(i) The LCM of 1153 and 1145 is associative

LCM of 1145 and 1153 = LCM of 1153 and 1145

Related Least Common Multiples of 1145

Related Least Common Multiples of 1153

Frequently Asked Questions on LCM of 1145 and 1153

1. What is the LCM of 1145 and 1153?

Answer: LCM of 1145 and 1153 is 1320185.

2. What are the Factors of 1145?

Answer: Factors of 1145 are 1, 5, 229, 1145. There are 4 integers that are factors of 1145. The greatest factor of 1145 is 1145.

3. What are the Factors of 1153?

Answer: Factors of 1153 are 1, 1153. There are 2 integers that are factors of 1153. The greatest factor of 1153 is 1153.

4. How to Find the LCM of 1145 and 1153?

Answer:

Least Common Multiple of 1145 and 1153 = 1320185

Step 1: Find the prime factorization of 1145

1145 = 5 x 229

Step 2: Find the prime factorization of 1153

1153 = 1153

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

LCM = 1320185 = 5 x 229 x 1153

Step 4: Therefore, the least common multiple of 1145 and 1153 is 1320185.