Least Common Multiple of 2520 and 2526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2520 and 2526 the smallest integer that is 1060920 that is divisible by both numbers.

Least Common Multiple (LCM) of 2520 and 2526 is 1060920.

LCM(2520,2526) = 1060920

LCM of 2520 and 2526

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

LCM of:
and

Least Common Multiple of 2520 and 2526

LCM of 2520 and 2526 is 1060920

Least common multiple can be found by multiplying the highest exponent prime factors of 2520 and 2526. First we will calculate the prime factors of 2520 and 2526.

Prime Factorization of 2520


2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 2520 are 2, 3, 5,7. Prime factorization of 2520 in exponential form is:

2520 = 23×32×51×71

Prime Factorization of 2526


2 2526
3 1263
421 421
1

Prime factors of 2526 are 2, 3,421. Prime factorization of 2526 in exponential form is:

2526 = 21×31×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 2520 and 2526.

LCM(2520,2526) = 23×32×51×71×4211
LCM(2520,2526) = 1060920

Factors of 2520

List of positive integer factors of 2520 that divides 2520 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520

Factors of 2526

List of positive integer factors of 2526 that divides 2526 without a remainder.

1, 2, 3, 6, 421, 842, 1263, 2526

Least Common Multiple of 2520 and 2526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2520 and 2526, than apply into the LCM equation.

GCF(2520,2526) = 6
LCM(2520,2526) = ( 2520 × 2526) / 6
LCM(2520,2526) = 6365520 / 6
LCM(2520,2526) = 1060920

Properties of LCM 2520 and 2526

(i) The LCM of 2526 and 2520 is associative

LCM of 2520 and 2526 = LCM of 2526 and 2520

Related Least Common Multiples of 2520

Related Least Common Multiples of 2526

Frequently Asked Questions on LCM of 2520 and 2526

1. What is the LCM of 2520 and 2526?

Answer: LCM of 2520 and 2526 is 1060920.

2. What are the Factors of 2520?

Answer: Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520. There are 48 integers that are factors of 2520. The greatest factor of 2520 is 2520.

3. What are the Factors of 2526?

Answer: Factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526. There are 8 integers that are factors of 2526. The greatest factor of 2526 is 2526.

4. How to Find the LCM of 2520 and 2526?

Answer:

Least Common Multiple of 2520 and 2526 = 1060920

Step 1: Find the prime factorization of 2520

2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 2526

2526 = 2 x 3 x 421

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

LCM = 1060920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 421

Step 4: Therefore, the least common multiple of 2520 and 2526 is 1060920.