Least Common Multiple of 1148 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 1148 and 1153 the smallest integer that is 1323644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1148 and 1153 is 1323644.

LCM(1148,1153) = 1323644

LCM of 1148 and 1153

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

LCM of:
and

Least Common Multiple of 1148 and 1153

LCM of 1148 and 1153 is 1323644

Least common multiple can be found by multiplying the highest exponent prime factors of 1148 and 1153. First we will calculate the prime factors of 1148 and 1153.

Prime Factorization of 1148


2 1148
2 574
7 287
41 41
1

Prime factors of 1148 are 2, 7,41. Prime factorization of 1148 in exponential form is:

1148 = 22×71×411

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 1148 and 1153.

LCM(1148,1153) = 22×71×411×11531
LCM(1148,1153) = 1323644

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148

Factors of 1153

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

1, 1153

Least Common Multiple of 1148 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 1148 and 1153, than apply into the LCM equation.

GCF(1148,1153) = 1
LCM(1148,1153) = ( 1148 × 1153) / 1
LCM(1148,1153) = 1323644 / 1
LCM(1148,1153) = 1323644

Properties of LCM 1148 and 1153

(i) The LCM of 1153 and 1148 is associative

LCM of 1148 and 1153 = LCM of 1153 and 1148

Related Least Common Multiples of 1148

Related Least Common Multiples of 1153

Frequently Asked Questions on LCM of 1148 and 1153

1. What is the LCM of 1148 and 1153?

Answer: LCM of 1148 and 1153 is 1323644.

2. What are the Factors of 1148?

Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.

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 1148 and 1153?

Answer:

Least Common Multiple of 1148 and 1153 = 1323644

Step 1: Find the prime factorization of 1148

1148 = 2 x 2 x 7 x 41

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 = 1323644 = 2 x 2 x 7 x 41 x 1153

Step 4: Therefore, the least common multiple of 1148 and 1153 is 1323644.