Least Common Multiple of 2148 and 2153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2148 and 2153 the smallest integer that is 4624644 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2153 is 4624644.

LCM(2148,2153) = 4624644

LCM of 2148 and 2153

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

LCM of:
and

Least Common Multiple of 2148 and 2153

LCM of 2148 and 2153 is 4624644

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2153. First we will calculate the prime factors of 2148 and 2153.

Prime Factorization of 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2, 3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

Prime Factorization of 2153


2153 2153
1

Prime factors of 2153 are 2153. Prime factorization of 2153 in exponential form is:

2153 = 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2153.

LCM(2148,2153) = 22×31×1791×21531
LCM(2148,2153) = 4624644

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

Factors of 2153

List of positive integer factors of 2153 that divides 2153 without a remainder.

1, 2153

Least Common Multiple of 2148 and 2153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2148 and 2153, than apply into the LCM equation.

GCF(2148,2153) = 1
LCM(2148,2153) = ( 2148 × 2153) / 1
LCM(2148,2153) = 4624644 / 1
LCM(2148,2153) = 4624644

Properties of LCM 2148 and 2153

(i) The LCM of 2153 and 2148 is associative

LCM of 2148 and 2153 = LCM of 2153 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2153

Frequently Asked Questions on LCM of 2148 and 2153

1. What is the LCM of 2148 and 2153?

Answer: LCM of 2148 and 2153 is 4624644.

2. What are the Factors of 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

3. What are the Factors of 2153?

Answer: Factors of 2153 are 1, 2153. There are 2 integers that are factors of 2153. The greatest factor of 2153 is 2153.

4. How to Find the LCM of 2148 and 2153?

Answer:

Least Common Multiple of 2148 and 2153 = 4624644

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2153

2153 = 2153

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

LCM = 4624644 = 2 x 2 x 3 x 179 x 2153

Step 4: Therefore, the least common multiple of 2148 and 2153 is 4624644.