Least Common Multiple of 4154 and 4156

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 4156 the smallest integer that is 8632012 that is divisible by both numbers.

Least Common Multiple (LCM) of 4154 and 4156 is 8632012.

LCM(4154,4156) = 8632012

LCM of 4154 and 4156

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

LCM of:
and

Least Common Multiple of 4154 and 4156

LCM of 4154 and 4156 is 8632012

Least common multiple can be found by multiplying the highest exponent prime factors of 4154 and 4156. First we will calculate the prime factors of 4154 and 4156.

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 4156


2 4156
2 2078
1039 1039
1

Prime factors of 4156 are 2,1039. Prime factorization of 4156 in exponential form is:

4156 = 22×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 4154 and 4156.

LCM(4154,4156) = 22×311×671×10391
LCM(4154,4156) = 8632012

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 4156

List of positive integer factors of 4156 that divides 4156 without a remainder.

1, 2, 4, 1039, 2078, 4156

Least Common Multiple of 4154 and 4156 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 4156, than apply into the LCM equation.

GCF(4154,4156) = 2
LCM(4154,4156) = ( 4154 × 4156) / 2
LCM(4154,4156) = 17264024 / 2
LCM(4154,4156) = 8632012

Properties of LCM 4154 and 4156

(i) The LCM of 4156 and 4154 is associative

LCM of 4154 and 4156 = LCM of 4156 and 4154

Related Least Common Multiples of 4154

Related Least Common Multiples of 4156

Frequently Asked Questions on LCM of 4154 and 4156

1. What is the LCM of 4154 and 4156?

Answer: LCM of 4154 and 4156 is 8632012.

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 4156?

Answer: Factors of 4156 are 1, 2, 4, 1039, 2078, 4156. There are 6 integers that are factors of 4156. The greatest factor of 4156 is 4156.

4. How to Find the LCM of 4154 and 4156?

Answer:

Least Common Multiple of 4154 and 4156 = 8632012

Step 1: Find the prime factorization of 4154

4154 = 2 x 31 x 67

Step 2: Find the prime factorization of 4156

4156 = 2 x 2 x 1039

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

LCM = 8632012 = 2 x 2 x 31 x 67 x 1039

Step 4: Therefore, the least common multiple of 4154 and 4156 is 8632012.