Least Common Multiple of 602 and 610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 602 and 610 the smallest integer that is 183610 that is divisible by both numbers.

Least Common Multiple (LCM) of 602 and 610 is 183610.

LCM(602,610) = 183610

LCM of 602 and 610

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

LCM of:
and

Least Common Multiple of 602 and 610

LCM of 602 and 610 is 183610

Least common multiple can be found by multiplying the highest exponent prime factors of 602 and 610. First we will calculate the prime factors of 602 and 610.

Prime Factorization of 602


2 602
7 301
43 43
1

Prime factors of 602 are 2, 7,43. Prime factorization of 602 in exponential form is:

602 = 21×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 602 and 610.

LCM(602,610) = 21×51×71×431×611
LCM(602,610) = 183610

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Factors of 610

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

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

Least Common Multiple of 602 and 610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 602 and 610, than apply into the LCM equation.

GCF(602,610) = 2
LCM(602,610) = ( 602 × 610) / 2
LCM(602,610) = 367220 / 2
LCM(602,610) = 183610

Properties of LCM 602 and 610

(i) The LCM of 610 and 602 is associative

LCM of 602 and 610 = LCM of 610 and 602

Related Least Common Multiples of 602

Related Least Common Multiples of 610

Frequently Asked Questions on LCM of 602 and 610

1. What is the LCM of 602 and 610?

Answer: LCM of 602 and 610 is 183610.

2. What are the Factors of 602?

Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.

3. 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.

4. How to Find the LCM of 602 and 610?

Answer:

Least Common Multiple of 602 and 610 = 183610

Step 1: Find the prime factorization of 602

602 = 2 x 7 x 43

Step 2: Find the prime factorization of 610

610 = 2 x 5 x 61

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

LCM = 183610 = 2 x 5 x 7 x 43 x 61

Step 4: Therefore, the least common multiple of 602 and 610 is 183610.