Least Common Multiple of 2148 and 2151

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 2151 the smallest integer that is 1540116 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2151 is 1540116.

LCM(2148,2151) = 1540116

LCM of 2148 and 2151

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

LCM of:
and

Least Common Multiple of 2148 and 2151

LCM of 2148 and 2151 is 1540116

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2151. First we will calculate the prime factors of 2148 and 2151.

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 2151


3 2151
3 717
239 239
1

Prime factors of 2151 are 3,239. Prime factorization of 2151 in exponential form is:

2151 = 32×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2151.

LCM(2148,2151) = 22×32×1791×2391
LCM(2148,2151) = 1540116

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 2151

List of positive integer factors of 2151 that divides 2151 without a remainder.

1, 3, 9, 239, 717, 2151

Least Common Multiple of 2148 and 2151 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 2151, than apply into the LCM equation.

GCF(2148,2151) = 3
LCM(2148,2151) = ( 2148 × 2151) / 3
LCM(2148,2151) = 4620348 / 3
LCM(2148,2151) = 1540116

Properties of LCM 2148 and 2151

(i) The LCM of 2151 and 2148 is associative

LCM of 2148 and 2151 = LCM of 2151 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2151

Frequently Asked Questions on LCM of 2148 and 2151

1. What is the LCM of 2148 and 2151?

Answer: LCM of 2148 and 2151 is 1540116.

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 2151?

Answer: Factors of 2151 are 1, 3, 9, 239, 717, 2151. There are 6 integers that are factors of 2151. The greatest factor of 2151 is 2151.

4. How to Find the LCM of 2148 and 2151?

Answer:

Least Common Multiple of 2148 and 2151 = 1540116

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2151

2151 = 3 x 3 x 239

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

LCM = 1540116 = 2 x 2 x 3 x 3 x 179 x 239

Step 4: Therefore, the least common multiple of 2148 and 2151 is 1540116.