Least Common Multiple of 2148 and 2156

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 2156 the smallest integer that is 1157772 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2156 is 1157772.

LCM(2148,2156) = 1157772

LCM of 2148 and 2156

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

LCM of:
and

Least Common Multiple of 2148 and 2156

LCM of 2148 and 2156 is 1157772

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2156. First we will calculate the prime factors of 2148 and 2156.

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 2156


2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 2156 are 2, 7,11. Prime factorization of 2156 in exponential form is:

2156 = 22×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2156.

LCM(2148,2156) = 22×31×72×111×1791
LCM(2148,2156) = 1157772

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 2156

List of positive integer factors of 2156 that divides 2156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

Least Common Multiple of 2148 and 2156 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 2156, than apply into the LCM equation.

GCF(2148,2156) = 4
LCM(2148,2156) = ( 2148 × 2156) / 4
LCM(2148,2156) = 4631088 / 4
LCM(2148,2156) = 1157772

Properties of LCM 2148 and 2156

(i) The LCM of 2156 and 2148 is associative

LCM of 2148 and 2156 = LCM of 2156 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2156

Frequently Asked Questions on LCM of 2148 and 2156

1. What is the LCM of 2148 and 2156?

Answer: LCM of 2148 and 2156 is 1157772.

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 2156?

Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.

4. How to Find the LCM of 2148 and 2156?

Answer:

Least Common Multiple of 2148 and 2156 = 1157772

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2156

2156 = 2 x 2 x 7 x 7 x 11

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

LCM = 1157772 = 2 x 2 x 3 x 7 x 7 x 11 x 179

Step 4: Therefore, the least common multiple of 2148 and 2156 is 1157772.