Least Common Multiple of 608 and 611

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 611 the smallest integer that is 371488 that is divisible by both numbers.

Least Common Multiple (LCM) of 608 and 611 is 371488.

LCM(608,611) = 371488

LCM of 608 and 611

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

LCM of:
and

Least Common Multiple of 608 and 611

LCM of 608 and 611 is 371488

Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 611. First we will calculate the prime factors of 608 and 611.

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 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 611.

LCM(608,611) = 25×131×191×471
LCM(608,611) = 371488

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 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Least Common Multiple of 608 and 611 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 611, than apply into the LCM equation.

GCF(608,611) = 1
LCM(608,611) = ( 608 × 611) / 1
LCM(608,611) = 371488 / 1
LCM(608,611) = 371488

Properties of LCM 608 and 611

(i) The LCM of 611 and 608 is associative

LCM of 608 and 611 = LCM of 611 and 608

Related Least Common Multiples of 608

Related Least Common Multiples of 611

Frequently Asked Questions on LCM of 608 and 611

1. What is the LCM of 608 and 611?

Answer: LCM of 608 and 611 is 371488.

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 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

4. How to Find the LCM of 608 and 611?

Answer:

Least Common Multiple of 608 and 611 = 371488

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 611

611 = 13 x 47

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

LCM = 371488 = 2 x 2 x 2 x 2 x 2 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 608 and 611 is 371488.