Least Common Multiple of 2148 and 2152

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 2152 the smallest integer that is 1155624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2152 is 1155624.

LCM(2148,2152) = 1155624

LCM of 2148 and 2152

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

LCM of:
and

Least Common Multiple of 2148 and 2152

LCM of 2148 and 2152 is 1155624

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2152. First we will calculate the prime factors of 2148 and 2152.

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 2152


2 2152
2 1076
2 538
269 269
1

Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:

2152 = 23×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2152.

LCM(2148,2152) = 23×31×1791×2691
LCM(2148,2152) = 1155624

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 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1, 2, 4, 8, 269, 538, 1076, 2152

Least Common Multiple of 2148 and 2152 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 2152, than apply into the LCM equation.

GCF(2148,2152) = 4
LCM(2148,2152) = ( 2148 × 2152) / 4
LCM(2148,2152) = 4622496 / 4
LCM(2148,2152) = 1155624

Properties of LCM 2148 and 2152

(i) The LCM of 2152 and 2148 is associative

LCM of 2148 and 2152 = LCM of 2152 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2152

Frequently Asked Questions on LCM of 2148 and 2152

1. What is the LCM of 2148 and 2152?

Answer: LCM of 2148 and 2152 is 1155624.

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 2152?

Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.

4. How to Find the LCM of 2148 and 2152?

Answer:

Least Common Multiple of 2148 and 2152 = 1155624

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2152

2152 = 2 x 2 x 2 x 269

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

LCM = 1155624 = 2 x 2 x 2 x 3 x 179 x 269

Step 4: Therefore, the least common multiple of 2148 and 2152 is 1155624.