Least Common Multiple of 2154 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 2154 and 2156 the smallest integer that is 2322012 that is divisible by both numbers.

Least Common Multiple (LCM) of 2154 and 2156 is 2322012.

LCM(2154,2156) = 2322012

LCM of 2154 and 2156

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

LCM of:
and

Least Common Multiple of 2154 and 2156

LCM of 2154 and 2156 is 2322012

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2156. First we will calculate the prime factors of 2154 and 2156.

Prime Factorization of 2154


2 2154
3 1077
359 359
1

Prime factors of 2154 are 2, 3,359. Prime factorization of 2154 in exponential form is:

2154 = 21×31×3591

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 2154 and 2156.

LCM(2154,2156) = 22×31×72×111×3591
LCM(2154,2156) = 2322012

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1, 2, 3, 6, 359, 718, 1077, 2154

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 2154 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 2154 and 2156, than apply into the LCM equation.

GCF(2154,2156) = 2
LCM(2154,2156) = ( 2154 × 2156) / 2
LCM(2154,2156) = 4644024 / 2
LCM(2154,2156) = 2322012

Properties of LCM 2154 and 2156

(i) The LCM of 2156 and 2154 is associative

LCM of 2154 and 2156 = LCM of 2156 and 2154

Related Least Common Multiples of 2154

Related Least Common Multiples of 2156

Frequently Asked Questions on LCM of 2154 and 2156

1. What is the LCM of 2154 and 2156?

Answer: LCM of 2154 and 2156 is 2322012.

2. What are the Factors of 2154?

Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.

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 2154 and 2156?

Answer:

Least Common Multiple of 2154 and 2156 = 2322012

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

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 = 2322012 = 2 x 2 x 3 x 7 x 7 x 11 x 359

Step 4: Therefore, the least common multiple of 2154 and 2156 is 2322012.