Least Common Multiple of 4518 and 4526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4518 and 4526 the smallest integer that is 10224234 that is divisible by both numbers.

Least Common Multiple (LCM) of 4518 and 4526 is 10224234.

LCM(4518,4526) = 10224234

LCM of 4518 and 4526

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

LCM of:
and

Least Common Multiple of 4518 and 4526

LCM of 4518 and 4526 is 10224234

Least common multiple can be found by multiplying the highest exponent prime factors of 4518 and 4526. First we will calculate the prime factors of 4518 and 4526.

Prime Factorization of 4518


2 4518
3 2259
3 753
251 251
1

Prime factors of 4518 are 2, 3,251. Prime factorization of 4518 in exponential form is:

4518 = 21×32×2511

Prime Factorization of 4526


2 4526
31 2263
73 73
1

Prime factors of 4526 are 2, 31,73. Prime factorization of 4526 in exponential form is:

4526 = 21×311×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4518 and 4526.

LCM(4518,4526) = 21×32×311×731×2511
LCM(4518,4526) = 10224234

Factors of 4518

List of positive integer factors of 4518 that divides 4518 without a remainder.

1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1, 2, 31, 62, 73, 146, 2263, 4526

Least Common Multiple of 4518 and 4526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4518 and 4526, than apply into the LCM equation.

GCF(4518,4526) = 2
LCM(4518,4526) = ( 4518 × 4526) / 2
LCM(4518,4526) = 20448468 / 2
LCM(4518,4526) = 10224234

Properties of LCM 4518 and 4526

(i) The LCM of 4526 and 4518 is associative

LCM of 4518 and 4526 = LCM of 4526 and 4518

Related Least Common Multiples of 4518

Related Least Common Multiples of 4526

Frequently Asked Questions on LCM of 4518 and 4526

1. What is the LCM of 4518 and 4526?

Answer: LCM of 4518 and 4526 is 10224234.

2. What are the Factors of 4518?

Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.

3. What are the Factors of 4526?

Answer: Factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526. There are 8 integers that are factors of 4526. The greatest factor of 4526 is 4526.

4. How to Find the LCM of 4518 and 4526?

Answer:

Least Common Multiple of 4518 and 4526 = 10224234

Step 1: Find the prime factorization of 4518

4518 = 2 x 3 x 3 x 251

Step 2: Find the prime factorization of 4526

4526 = 2 x 31 x 73

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

LCM = 10224234 = 2 x 3 x 3 x 31 x 73 x 251

Step 4: Therefore, the least common multiple of 4518 and 4526 is 10224234.