Least Common Multiple of 3570 and 3577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3570 and 3577 the smallest integer that is 1824270 that is divisible by both numbers.

Least Common Multiple (LCM) of 3570 and 3577 is 1824270.

LCM(3570,3577) = 1824270

LCM of 3570 and 3577

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

LCM of:
and

Least Common Multiple of 3570 and 3577

LCM of 3570 and 3577 is 1824270

Least common multiple can be found by multiplying the highest exponent prime factors of 3570 and 3577. First we will calculate the prime factors of 3570 and 3577.

Prime Factorization of 3570


2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 3570 are 2, 3, 5, 7,17. Prime factorization of 3570 in exponential form is:

3570 = 21×31×51×71×171

Prime Factorization of 3577


7 3577
7 511
73 73
1

Prime factors of 3577 are 7,73. Prime factorization of 3577 in exponential form is:

3577 = 72×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3570 and 3577.

LCM(3570,3577) = 21×31×51×72×171×731
LCM(3570,3577) = 1824270

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1, 7, 49, 73, 511, 3577

Least Common Multiple of 3570 and 3577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3570 and 3577, than apply into the LCM equation.

GCF(3570,3577) = 7
LCM(3570,3577) = ( 3570 × 3577) / 7
LCM(3570,3577) = 12769890 / 7
LCM(3570,3577) = 1824270

Properties of LCM 3570 and 3577

(i) The LCM of 3577 and 3570 is associative

LCM of 3570 and 3577 = LCM of 3577 and 3570

Related Least Common Multiples of 3570

Related Least Common Multiples of 3577

Frequently Asked Questions on LCM of 3570 and 3577

1. What is the LCM of 3570 and 3577?

Answer: LCM of 3570 and 3577 is 1824270.

2. What are the Factors of 3570?

Answer: Factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570. There are 32 integers that are factors of 3570. The greatest factor of 3570 is 3570.

3. What are the Factors of 3577?

Answer: Factors of 3577 are 1, 7, 49, 73, 511, 3577. There are 6 integers that are factors of 3577. The greatest factor of 3577 is 3577.

4. How to Find the LCM of 3570 and 3577?

Answer:

Least Common Multiple of 3570 and 3577 = 1824270

Step 1: Find the prime factorization of 3570

3570 = 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 3577

3577 = 7 x 7 x 73

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

LCM = 1824270 = 2 x 3 x 5 x 7 x 7 x 17 x 73

Step 4: Therefore, the least common multiple of 3570 and 3577 is 1824270.