Least Common Multiple of 4149 and 4154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4149 and 4154 the smallest integer that is 17234946 that is divisible by both numbers.

Least Common Multiple (LCM) of 4149 and 4154 is 17234946.

LCM(4149,4154) = 17234946

LCM of 4149 and 4154

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

LCM of:
and

Least Common Multiple of 4149 and 4154

LCM of 4149 and 4154 is 17234946

Least common multiple can be found by multiplying the highest exponent prime factors of 4149 and 4154. First we will calculate the prime factors of 4149 and 4154.

Prime Factorization of 4149


3 4149
3 1383
461 461
1

Prime factors of 4149 are 3,461. Prime factorization of 4149 in exponential form is:

4149 = 32×4611

Prime Factorization of 4154


2 4154
31 2077
67 67
1

Prime factors of 4154 are 2, 31,67. Prime factorization of 4154 in exponential form is:

4154 = 21×311×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4149 and 4154.

LCM(4149,4154) = 21×32×311×671×4611
LCM(4149,4154) = 17234946

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1, 3, 9, 461, 1383, 4149

Factors of 4154

List of positive integer factors of 4154 that divides 4154 without a remainder.

1, 2, 31, 62, 67, 134, 2077, 4154

Least Common Multiple of 4149 and 4154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4149 and 4154, than apply into the LCM equation.

GCF(4149,4154) = 1
LCM(4149,4154) = ( 4149 × 4154) / 1
LCM(4149,4154) = 17234946 / 1
LCM(4149,4154) = 17234946

Properties of LCM 4149 and 4154

(i) The LCM of 4154 and 4149 is associative

LCM of 4149 and 4154 = LCM of 4154 and 4149

Related Least Common Multiples of 4149

Related Least Common Multiples of 4154

Frequently Asked Questions on LCM of 4149 and 4154

1. What is the LCM of 4149 and 4154?

Answer: LCM of 4149 and 4154 is 17234946.

2. What are the Factors of 4149?

Answer: Factors of 4149 are 1, 3, 9, 461, 1383, 4149. There are 6 integers that are factors of 4149. The greatest factor of 4149 is 4149.

3. What are the Factors of 4154?

Answer: Factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154. There are 8 integers that are factors of 4154. The greatest factor of 4154 is 4154.

4. How to Find the LCM of 4149 and 4154?

Answer:

Least Common Multiple of 4149 and 4154 = 17234946

Step 1: Find the prime factorization of 4149

4149 = 3 x 3 x 461

Step 2: Find the prime factorization of 4154

4154 = 2 x 31 x 67

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

LCM = 17234946 = 2 x 3 x 3 x 31 x 67 x 461

Step 4: Therefore, the least common multiple of 4149 and 4154 is 17234946.