Least Common Multiple of 604 and 612

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 612 the smallest integer that is 92412 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 612 is 92412.

LCM(604,612) = 92412

LCM of 604 and 612

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

LCM of:
and

Least Common Multiple of 604 and 612

LCM of 604 and 612 is 92412

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 612. First we will calculate the prime factors of 604 and 612.

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 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 604 and 612.

LCM(604,612) = 22×32×171×1511
LCM(604,612) = 92412

Factors of 604

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

1, 2, 4, 151, 302, 604

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Least Common Multiple of 604 and 612 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 612, than apply into the LCM equation.

GCF(604,612) = 4
LCM(604,612) = ( 604 × 612) / 4
LCM(604,612) = 369648 / 4
LCM(604,612) = 92412

Properties of LCM 604 and 612

(i) The LCM of 612 and 604 is associative

LCM of 604 and 612 = LCM of 612 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 604 and 612

1. What is the LCM of 604 and 612?

Answer: LCM of 604 and 612 is 92412.

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 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

4. How to Find the LCM of 604 and 612?

Answer:

Least Common Multiple of 604 and 612 = 92412

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

Step 2: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

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

LCM = 92412 = 2 x 2 x 3 x 3 x 17 x 151

Step 4: Therefore, the least common multiple of 604 and 612 is 92412.