Least Common Multiple of 7570 and 7574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7570 and 7574 the smallest integer that is 28667590 that is divisible by both numbers.

Least Common Multiple (LCM) of 7570 and 7574 is 28667590.

LCM(7570,7574) = 28667590

LCM of 7570 and 7574

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

LCM of:
and

Least Common Multiple of 7570 and 7574

LCM of 7570 and 7574 is 28667590

Least common multiple can be found by multiplying the highest exponent prime factors of 7570 and 7574. First we will calculate the prime factors of 7570 and 7574.

Prime Factorization of 7570


2 7570
5 3785
757 757
1

Prime factors of 7570 are 2, 5,757. Prime factorization of 7570 in exponential form is:

7570 = 21×51×7571

Prime Factorization of 7574


2 7574
7 3787
541 541
1

Prime factors of 7574 are 2, 7,541. Prime factorization of 7574 in exponential form is:

7574 = 21×71×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 7570 and 7574.

LCM(7570,7574) = 21×51×71×5411×7571
LCM(7570,7574) = 28667590

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1, 2, 5, 10, 757, 1514, 3785, 7570

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1, 2, 7, 14, 541, 1082, 3787, 7574

Least Common Multiple of 7570 and 7574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7570 and 7574, than apply into the LCM equation.

GCF(7570,7574) = 2
LCM(7570,7574) = ( 7570 × 7574) / 2
LCM(7570,7574) = 57335180 / 2
LCM(7570,7574) = 28667590

Properties of LCM 7570 and 7574

(i) The LCM of 7574 and 7570 is associative

LCM of 7570 and 7574 = LCM of 7574 and 7570

Related Least Common Multiples of 7570

Related Least Common Multiples of 7574

Frequently Asked Questions on LCM of 7570 and 7574

1. What is the LCM of 7570 and 7574?

Answer: LCM of 7570 and 7574 is 28667590.

2. What are the Factors of 7570?

Answer: Factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570. There are 8 integers that are factors of 7570. The greatest factor of 7570 is 7570.

3. What are the Factors of 7574?

Answer: Factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574. There are 8 integers that are factors of 7574. The greatest factor of 7574 is 7574.

4. How to Find the LCM of 7570 and 7574?

Answer:

Least Common Multiple of 7570 and 7574 = 28667590

Step 1: Find the prime factorization of 7570

7570 = 2 x 5 x 757

Step 2: Find the prime factorization of 7574

7574 = 2 x 7 x 541

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

LCM = 28667590 = 2 x 5 x 7 x 541 x 757

Step 4: Therefore, the least common multiple of 7570 and 7574 is 28667590.