Least Common Multiple of 2154 and 2159

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 2159 the smallest integer that is 4650486 that is divisible by both numbers.

Least Common Multiple (LCM) of 2154 and 2159 is 4650486.

LCM(2154,2159) = 4650486

LCM of 2154 and 2159

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

LCM of:
and

Least Common Multiple of 2154 and 2159

LCM of 2154 and 2159 is 4650486

Least common multiple can be found by multiplying the highest exponent prime factors of 2154 and 2159. First we will calculate the prime factors of 2154 and 2159.

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 2159


17 2159
127 127
1

Prime factors of 2159 are 17,127. Prime factorization of 2159 in exponential form is:

2159 = 171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2154 and 2159.

LCM(2154,2159) = 21×31×171×1271×3591
LCM(2154,2159) = 4650486

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 2159

List of positive integer factors of 2159 that divides 2159 without a remainder.

1, 17, 127, 2159

Least Common Multiple of 2154 and 2159 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 2159, than apply into the LCM equation.

GCF(2154,2159) = 1
LCM(2154,2159) = ( 2154 × 2159) / 1
LCM(2154,2159) = 4650486 / 1
LCM(2154,2159) = 4650486

Properties of LCM 2154 and 2159

(i) The LCM of 2159 and 2154 is associative

LCM of 2154 and 2159 = LCM of 2159 and 2154

Related Least Common Multiples of 2154

Related Least Common Multiples of 2159

Frequently Asked Questions on LCM of 2154 and 2159

1. What is the LCM of 2154 and 2159?

Answer: LCM of 2154 and 2159 is 4650486.

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 2159?

Answer: Factors of 2159 are 1, 17, 127, 2159. There are 4 integers that are factors of 2159. The greatest factor of 2159 is 2159.

4. How to Find the LCM of 2154 and 2159?

Answer:

Least Common Multiple of 2154 and 2159 = 4650486

Step 1: Find the prime factorization of 2154

2154 = 2 x 3 x 359

Step 2: Find the prime factorization of 2159

2159 = 17 x 127

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

LCM = 4650486 = 2 x 3 x 17 x 127 x 359

Step 4: Therefore, the least common multiple of 2154 and 2159 is 4650486.