Least Common Multiple of 609 and 616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 609 and 616 the smallest integer that is 53592 that is divisible by both numbers.

Least Common Multiple (LCM) of 609 and 616 is 53592.

LCM(609,616) = 53592

LCM of 609 and 616

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

LCM of:
and

Least Common Multiple of 609 and 616

LCM of 609 and 616 is 53592

Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 616. First we will calculate the prime factors of 609 and 616.

Prime Factorization of 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 609 and 616.

LCM(609,616) = 23×31×71×111×291
LCM(609,616) = 53592

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Least Common Multiple of 609 and 616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 609 and 616, than apply into the LCM equation.

GCF(609,616) = 7
LCM(609,616) = ( 609 × 616) / 7
LCM(609,616) = 375144 / 7
LCM(609,616) = 53592

Properties of LCM 609 and 616

(i) The LCM of 616 and 609 is associative

LCM of 609 and 616 = LCM of 616 and 609

Related Least Common Multiples of 609

Related Least Common Multiples of 616

Frequently Asked Questions on LCM of 609 and 616

1. What is the LCM of 609 and 616?

Answer: LCM of 609 and 616 is 53592.

2. What are the Factors of 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

3. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the LCM of 609 and 616?

Answer:

Least Common Multiple of 609 and 616 = 53592

Step 1: Find the prime factorization of 609

609 = 3 x 7 x 29

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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

LCM = 53592 = 2 x 2 x 2 x 3 x 7 x 11 x 29

Step 4: Therefore, the least common multiple of 609 and 616 is 53592.