Least Common Multiple of 4154 and 4157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4154 and 4157 the smallest integer that is 17268178 that is divisible by both numbers.

Least Common Multiple (LCM) of 4154 and 4157 is 17268178.

LCM(4154,4157) = 17268178

LCM of 4154 and 4157

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

LCM of:
and

Least Common Multiple of 4154 and 4157

LCM of 4154 and 4157 is 17268178

Least common multiple can be found by multiplying the highest exponent prime factors of 4154 and 4157. First we will calculate the prime factors of 4154 and 4157.

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

Prime Factorization of 4157


4157 4157
1

Prime factors of 4157 are 4157. Prime factorization of 4157 in exponential form is:

4157 = 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 4154 and 4157.

LCM(4154,4157) = 21×311×671×41571
LCM(4154,4157) = 17268178

Factors of 4154

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

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

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1, 4157

Least Common Multiple of 4154 and 4157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4154 and 4157, than apply into the LCM equation.

GCF(4154,4157) = 1
LCM(4154,4157) = ( 4154 × 4157) / 1
LCM(4154,4157) = 17268178 / 1
LCM(4154,4157) = 17268178

Properties of LCM 4154 and 4157

(i) The LCM of 4157 and 4154 is associative

LCM of 4154 and 4157 = LCM of 4157 and 4154

Related Least Common Multiples of 4154

Related Least Common Multiples of 4157

Frequently Asked Questions on LCM of 4154 and 4157

1. What is the LCM of 4154 and 4157?

Answer: LCM of 4154 and 4157 is 17268178.

2. 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.

3. What are the Factors of 4157?

Answer: Factors of 4157 are 1, 4157. There are 2 integers that are factors of 4157. The greatest factor of 4157 is 4157.

4. How to Find the LCM of 4154 and 4157?

Answer:

Least Common Multiple of 4154 and 4157 = 17268178

Step 1: Find the prime factorization of 4154

4154 = 2 x 31 x 67

Step 2: Find the prime factorization of 4157

4157 = 4157

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

LCM = 17268178 = 2 x 31 x 67 x 4157

Step 4: Therefore, the least common multiple of 4154 and 4157 is 17268178.