Least Common Multiple of 3528 and 3536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3528 and 3536 the smallest integer that is 1559376 that is divisible by both numbers.

Least Common Multiple (LCM) of 3528 and 3536 is 1559376.

LCM(3528,3536) = 1559376

LCM of 3528 and 3536

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

LCM of:
and

Least Common Multiple of 3528 and 3536

LCM of 3528 and 3536 is 1559376

Least common multiple can be found by multiplying the highest exponent prime factors of 3528 and 3536. First we will calculate the prime factors of 3528 and 3536.

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

Prime Factorization of 3536


2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 3536 are 2, 13,17. Prime factorization of 3536 in exponential form is:

3536 = 24×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3528 and 3536.

LCM(3528,3536) = 24×32×72×131×171
LCM(3528,3536) = 1559376

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

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536

Least Common Multiple of 3528 and 3536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3528 and 3536, than apply into the LCM equation.

GCF(3528,3536) = 8
LCM(3528,3536) = ( 3528 × 3536) / 8
LCM(3528,3536) = 12475008 / 8
LCM(3528,3536) = 1559376

Properties of LCM 3528 and 3536

(i) The LCM of 3536 and 3528 is associative

LCM of 3528 and 3536 = LCM of 3536 and 3528

Related Least Common Multiples of 3528

Related Least Common Multiples of 3536

Frequently Asked Questions on LCM of 3528 and 3536

1. What is the LCM of 3528 and 3536?

Answer: LCM of 3528 and 3536 is 1559376.

2. 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.

3. What are the Factors of 3536?

Answer: Factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536. There are 20 integers that are factors of 3536. The greatest factor of 3536 is 3536.

4. How to Find the LCM of 3528 and 3536?

Answer:

Least Common Multiple of 3528 and 3536 = 1559376

Step 1: Find the prime factorization of 3528

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

Step 2: Find the prime factorization of 3536

3536 = 2 x 2 x 2 x 2 x 13 x 17

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

LCM = 1559376 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 3528 and 3536 is 1559376.