Least Common Multiple of 608 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 608 and 612 the smallest integer that is 93024 that is divisible by both numbers.

Least Common Multiple (LCM) of 608 and 612 is 93024.

LCM(608,612) = 93024

LCM of 608 and 612

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

LCM of:
and

Least Common Multiple of 608 and 612

LCM of 608 and 612 is 93024

Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 612. First we will calculate the prime factors of 608 and 612.

Prime Factorization of 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

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 608 and 612.

LCM(608,612) = 25×32×171×191
LCM(608,612) = 93024

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 608 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 608 and 612, than apply into the LCM equation.

GCF(608,612) = 4
LCM(608,612) = ( 608 × 612) / 4
LCM(608,612) = 372096 / 4
LCM(608,612) = 93024

Properties of LCM 608 and 612

(i) The LCM of 612 and 608 is associative

LCM of 608 and 612 = LCM of 612 and 608

Related Least Common Multiples of 608

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 608 and 612

1. What is the LCM of 608 and 612?

Answer: LCM of 608 and 612 is 93024.

2. What are the Factors of 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

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 608 and 612?

Answer:

Least Common Multiple of 608 and 612 = 93024

Step 1: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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 = 93024 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 608 and 612 is 93024.