Least Common Multiple of 603 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 603 and 610 the smallest integer that is 367830 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 610 is 367830.

LCM(603,610) = 367830

LCM of 603 and 610

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

LCM of:
and

Least Common Multiple of 603 and 610

LCM of 603 and 610 is 367830

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 610. First we will calculate the prime factors of 603 and 610.

Prime Factorization of 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

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 603 and 610.

LCM(603,610) = 21×32×51×611×671
LCM(603,610) = 367830

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

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 603 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 603 and 610, than apply into the LCM equation.

GCF(603,610) = 1
LCM(603,610) = ( 603 × 610) / 1
LCM(603,610) = 367830 / 1
LCM(603,610) = 367830

Properties of LCM 603 and 610

(i) The LCM of 610 and 603 is associative

LCM of 603 and 610 = LCM of 610 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 610

Frequently Asked Questions on LCM of 603 and 610

1. What is the LCM of 603 and 610?

Answer: LCM of 603 and 610 is 367830.

2. What are the Factors of 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

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 603 and 610?

Answer:

Least Common Multiple of 603 and 610 = 367830

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

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 = 367830 = 2 x 3 x 3 x 5 x 61 x 67

Step 4: Therefore, the least common multiple of 603 and 610 is 367830.