Least Common Multiple of 610 and 615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 610 and 615 the smallest integer that is 75030 that is divisible by both numbers.

Least Common Multiple (LCM) of 610 and 615 is 75030.

LCM(610,615) = 75030

LCM of 610 and 615

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

LCM of:
and

Least Common Multiple of 610 and 615

LCM of 610 and 615 is 75030

Least common multiple can be found by multiplying the highest exponent prime factors of 610 and 615. First we will calculate the prime factors of 610 and 615.

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2, 5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

Prime Factorization of 615


3 615
5 205
41 41
1

Prime factors of 615 are 3, 5,41. Prime factorization of 615 in exponential form is:

615 = 31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 610 and 615.

LCM(610,615) = 21×31×51×411×611
LCM(610,615) = 75030

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Least Common Multiple of 610 and 615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 610 and 615, than apply into the LCM equation.

GCF(610,615) = 5
LCM(610,615) = ( 610 × 615) / 5
LCM(610,615) = 375150 / 5
LCM(610,615) = 75030

Properties of LCM 610 and 615

(i) The LCM of 615 and 610 is associative

LCM of 610 and 615 = LCM of 615 and 610

Related Least Common Multiples of 610

Related Least Common Multiples of 615

Frequently Asked Questions on LCM of 610 and 615

1. What is the LCM of 610 and 615?

Answer: LCM of 610 and 615 is 75030.

2. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

3. What are the Factors of 615?

Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.

4. How to Find the LCM of 610 and 615?

Answer:

Least Common Multiple of 610 and 615 = 75030

Step 1: Find the prime factorization of 610

610 = 2 x 5 x 61

Step 2: Find the prime factorization of 615

615 = 3 x 5 x 41

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

LCM = 75030 = 2 x 3 x 5 x 41 x 61

Step 4: Therefore, the least common multiple of 610 and 615 is 75030.