Least Common Multiple of 604 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 604 and 610 the smallest integer that is 184220 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 610 is 184220.

LCM(604,610) = 184220

LCM of 604 and 610

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

LCM of:
and

Least Common Multiple of 604 and 610

LCM of 604 and 610 is 184220

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 610. First we will calculate the prime factors of 604 and 610.

Prime Factorization of 604


2 604
2 302
151 151
1

Prime factors of 604 are 2,151. Prime factorization of 604 in exponential form is:

604 = 22×1511

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 604 and 610.

LCM(604,610) = 22×51×611×1511
LCM(604,610) = 184220

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

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 604 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 604 and 610, than apply into the LCM equation.

GCF(604,610) = 2
LCM(604,610) = ( 604 × 610) / 2
LCM(604,610) = 368440 / 2
LCM(604,610) = 184220

Properties of LCM 604 and 610

(i) The LCM of 610 and 604 is associative

LCM of 604 and 610 = LCM of 610 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 610

Frequently Asked Questions on LCM of 604 and 610

1. What is the LCM of 604 and 610?

Answer: LCM of 604 and 610 is 184220.

2. What are the Factors of 604?

Answer: Factors of 604 are 1, 2, 4, 151, 302, 604. There are 6 integers that are factors of 604. The greatest factor of 604 is 604.

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 604 and 610?

Answer:

Least Common Multiple of 604 and 610 = 184220

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

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 = 184220 = 2 x 2 x 5 x 61 x 151

Step 4: Therefore, the least common multiple of 604 and 610 is 184220.