Least Common Multiple of 610 and 611

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 611 the smallest integer that is 372710 that is divisible by both numbers.

Least Common Multiple (LCM) of 610 and 611 is 372710.

LCM(610,611) = 372710

LCM of 610 and 611

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

LCM of:
and

Least Common Multiple of 610 and 611

LCM of 610 and 611 is 372710

Least common multiple can be found by multiplying the highest exponent prime factors of 610 and 611. First we will calculate the prime factors of 610 and 611.

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 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 610 and 611.

LCM(610,611) = 21×51×131×471×611
LCM(610,611) = 372710

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 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Least Common Multiple of 610 and 611 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 611, than apply into the LCM equation.

GCF(610,611) = 1
LCM(610,611) = ( 610 × 611) / 1
LCM(610,611) = 372710 / 1
LCM(610,611) = 372710

Properties of LCM 610 and 611

(i) The LCM of 611 and 610 is associative

LCM of 610 and 611 = LCM of 611 and 610

Related Least Common Multiples of 610

Related Least Common Multiples of 611

Frequently Asked Questions on LCM of 610 and 611

1. What is the LCM of 610 and 611?

Answer: LCM of 610 and 611 is 372710.

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 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

4. How to Find the LCM of 610 and 611?

Answer:

Least Common Multiple of 610 and 611 = 372710

Step 1: Find the prime factorization of 610

610 = 2 x 5 x 61

Step 2: Find the prime factorization of 611

611 = 13 x 47

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

LCM = 372710 = 2 x 5 x 13 x 47 x 61

Step 4: Therefore, the least common multiple of 610 and 611 is 372710.