Least Common Multiple of 3521 and 3528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3521 and 3528 the smallest integer that is 1774584 that is divisible by both numbers.

Least Common Multiple (LCM) of 3521 and 3528 is 1774584.

LCM(3521,3528) = 1774584

LCM of 3521 and 3528

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

LCM of:
and

Least Common Multiple of 3521 and 3528

LCM of 3521 and 3528 is 1774584

Least common multiple can be found by multiplying the highest exponent prime factors of 3521 and 3528. First we will calculate the prime factors of 3521 and 3528.

Prime Factorization of 3521


7 3521
503 503
1

Prime factors of 3521 are 7,503. Prime factorization of 3521 in exponential form is:

3521 = 71×5031

Prime Factorization of 3528


2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 3528 are 2, 3,7. Prime factorization of 3528 in exponential form is:

3528 = 23×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3521 and 3528.

LCM(3521,3528) = 23×32×72×5031
LCM(3521,3528) = 1774584

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1, 7, 503, 3521

Factors of 3528

List of positive integer factors of 3528 that divides 3528 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528

Least Common Multiple of 3521 and 3528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3521 and 3528, than apply into the LCM equation.

GCF(3521,3528) = 7
LCM(3521,3528) = ( 3521 × 3528) / 7
LCM(3521,3528) = 12422088 / 7
LCM(3521,3528) = 1774584

Properties of LCM 3521 and 3528

(i) The LCM of 3528 and 3521 is associative

LCM of 3521 and 3528 = LCM of 3528 and 3521

Related Least Common Multiples of 3521

Related Least Common Multiples of 3528

Frequently Asked Questions on LCM of 3521 and 3528

1. What is the LCM of 3521 and 3528?

Answer: LCM of 3521 and 3528 is 1774584.

2. What are the Factors of 3521?

Answer: Factors of 3521 are 1, 7, 503, 3521. There are 4 integers that are factors of 3521. The greatest factor of 3521 is 3521.

3. What are the Factors of 3528?

Answer: Factors of 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528. There are 36 integers that are factors of 3528. The greatest factor of 3528 is 3528.

4. How to Find the LCM of 3521 and 3528?

Answer:

Least Common Multiple of 3521 and 3528 = 1774584

Step 1: Find the prime factorization of 3521

3521 = 7 x 503

Step 2: Find the prime factorization of 3528

3528 = 2 x 2 x 2 x 3 x 3 x 7 x 7

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

LCM = 1774584 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 503

Step 4: Therefore, the least common multiple of 3521 and 3528 is 1774584.