Least Common Multiple of 4120 and 4126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4120 and 4126 the smallest integer that is 8499560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4120 and 4126 is 8499560.

LCM(4120,4126) = 8499560

LCM of 4120 and 4126

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

LCM of:
and

Least Common Multiple of 4120 and 4126

LCM of 4120 and 4126 is 8499560

Least common multiple can be found by multiplying the highest exponent prime factors of 4120 and 4126. First we will calculate the prime factors of 4120 and 4126.

Prime Factorization of 4120


2 4120
2 2060
2 1030
5 515
103 103
1

Prime factors of 4120 are 2, 5,103. Prime factorization of 4120 in exponential form is:

4120 = 23×51×1031

Prime Factorization of 4126


2 4126
2063 2063
1

Prime factors of 4126 are 2,2063. Prime factorization of 4126 in exponential form is:

4126 = 21×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 4120 and 4126.

LCM(4120,4126) = 23×51×1031×20631
LCM(4120,4126) = 8499560

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

Factors of 4126

List of positive integer factors of 4126 that divides 4126 without a remainder.

1, 2, 2063, 4126

Least Common Multiple of 4120 and 4126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4120 and 4126, than apply into the LCM equation.

GCF(4120,4126) = 2
LCM(4120,4126) = ( 4120 × 4126) / 2
LCM(4120,4126) = 16999120 / 2
LCM(4120,4126) = 8499560

Properties of LCM 4120 and 4126

(i) The LCM of 4126 and 4120 is associative

LCM of 4120 and 4126 = LCM of 4126 and 4120

Related Least Common Multiples of 4120

Related Least Common Multiples of 4126

Frequently Asked Questions on LCM of 4120 and 4126

1. What is the LCM of 4120 and 4126?

Answer: LCM of 4120 and 4126 is 8499560.

2. What are the Factors of 4120?

Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.

3. What are the Factors of 4126?

Answer: Factors of 4126 are 1, 2, 2063, 4126. There are 4 integers that are factors of 4126. The greatest factor of 4126 is 4126.

4. How to Find the LCM of 4120 and 4126?

Answer:

Least Common Multiple of 4120 and 4126 = 8499560

Step 1: Find the prime factorization of 4120

4120 = 2 x 2 x 2 x 5 x 103

Step 2: Find the prime factorization of 4126

4126 = 2 x 2063

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

LCM = 8499560 = 2 x 2 x 2 x 5 x 103 x 2063

Step 4: Therefore, the least common multiple of 4120 and 4126 is 8499560.