Least Common Multiple of 3520 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 3520 and 3528 the smallest integer that is 1552320 that is divisible by both numbers.

Least Common Multiple (LCM) of 3520 and 3528 is 1552320.

LCM(3520,3528) = 1552320

LCM of 3520 and 3528

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

LCM of:
and

Least Common Multiple of 3520 and 3528

LCM of 3520 and 3528 is 1552320

Least common multiple can be found by multiplying the highest exponent prime factors of 3520 and 3528. First we will calculate the prime factors of 3520 and 3528.

Prime Factorization of 3520


2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 3520 are 2, 5,11. Prime factorization of 3520 in exponential form is:

3520 = 26×51×111

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 3520 and 3528.

LCM(3520,3528) = 26×32×51×72×111
LCM(3520,3528) = 1552320

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520

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 3520 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 3520 and 3528, than apply into the LCM equation.

GCF(3520,3528) = 8
LCM(3520,3528) = ( 3520 × 3528) / 8
LCM(3520,3528) = 12418560 / 8
LCM(3520,3528) = 1552320

Properties of LCM 3520 and 3528

(i) The LCM of 3528 and 3520 is associative

LCM of 3520 and 3528 = LCM of 3528 and 3520

Related Least Common Multiples of 3520

Related Least Common Multiples of 3528

Frequently Asked Questions on LCM of 3520 and 3528

1. What is the LCM of 3520 and 3528?

Answer: LCM of 3520 and 3528 is 1552320.

2. What are the Factors of 3520?

Answer: Factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520. There are 28 integers that are factors of 3520. The greatest factor of 3520 is 3520.

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 3520 and 3528?

Answer:

Least Common Multiple of 3520 and 3528 = 1552320

Step 1: Find the prime factorization of 3520

3520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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 = 1552320 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 3520 and 3528 is 1552320.