Least Common Multiple of 3556 and 3560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3556 and 3560 the smallest integer that is 3164840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3556 and 3560 is 3164840.

LCM(3556,3560) = 3164840

LCM of 3556 and 3560

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

LCM of:
and

Least Common Multiple of 3556 and 3560

LCM of 3556 and 3560 is 3164840

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3560. First we will calculate the prime factors of 3556 and 3560.

Prime Factorization of 3556


2 3556
2 1778
7 889
127 127
1

Prime factors of 3556 are 2, 7,127. Prime factorization of 3556 in exponential form is:

3556 = 22×71×1271

Prime Factorization of 3560


2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 3560 are 2, 5,89. Prime factorization of 3560 in exponential form is:

3560 = 23×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3560.

LCM(3556,3560) = 23×51×71×891×1271
LCM(3556,3560) = 3164840

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560

Least Common Multiple of 3556 and 3560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3556 and 3560, than apply into the LCM equation.

GCF(3556,3560) = 4
LCM(3556,3560) = ( 3556 × 3560) / 4
LCM(3556,3560) = 12659360 / 4
LCM(3556,3560) = 3164840

Properties of LCM 3556 and 3560

(i) The LCM of 3560 and 3556 is associative

LCM of 3556 and 3560 = LCM of 3560 and 3556

Related Least Common Multiples of 3556

Related Least Common Multiples of 3560

Frequently Asked Questions on LCM of 3556 and 3560

1. What is the LCM of 3556 and 3560?

Answer: LCM of 3556 and 3560 is 3164840.

2. What are the Factors of 3556?

Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.

3. What are the Factors of 3560?

Answer: Factors of 3560 are 1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560. There are 16 integers that are factors of 3560. The greatest factor of 3560 is 3560.

4. How to Find the LCM of 3556 and 3560?

Answer:

Least Common Multiple of 3556 and 3560 = 3164840

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3560

3560 = 2 x 2 x 2 x 5 x 89

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

LCM = 3164840 = 2 x 2 x 2 x 5 x 7 x 89 x 127

Step 4: Therefore, the least common multiple of 3556 and 3560 is 3164840.