Least Common Multiple of 4609 and 4616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4609 and 4616 the smallest integer that is 21275144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4609 and 4616 is 21275144.

LCM(4609,4616) = 21275144

LCM of 4609 and 4616

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

LCM of:
and

Least Common Multiple of 4609 and 4616

LCM of 4609 and 4616 is 21275144

Least common multiple can be found by multiplying the highest exponent prime factors of 4609 and 4616. First we will calculate the prime factors of 4609 and 4616.

Prime Factorization of 4609


11 4609
419 419
1

Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:

4609 = 111×4191

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4609 and 4616.

LCM(4609,4616) = 23×111×4191×5771
LCM(4609,4616) = 21275144

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1, 11, 419, 4609

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1, 2, 4, 8, 577, 1154, 2308, 4616

Least Common Multiple of 4609 and 4616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4609 and 4616, than apply into the LCM equation.

GCF(4609,4616) = 1
LCM(4609,4616) = ( 4609 × 4616) / 1
LCM(4609,4616) = 21275144 / 1
LCM(4609,4616) = 21275144

Properties of LCM 4609 and 4616

(i) The LCM of 4616 and 4609 is associative

LCM of 4609 and 4616 = LCM of 4616 and 4609

Related Least Common Multiples of 4609

Related Least Common Multiples of 4616

Frequently Asked Questions on LCM of 4609 and 4616

1. What is the LCM of 4609 and 4616?

Answer: LCM of 4609 and 4616 is 21275144.

2. What are the Factors of 4609?

Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.

3. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

4. How to Find the LCM of 4609 and 4616?

Answer:

Least Common Multiple of 4609 and 4616 = 21275144

Step 1: Find the prime factorization of 4609

4609 = 11 x 419

Step 2: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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

LCM = 21275144 = 2 x 2 x 2 x 11 x 419 x 577

Step 4: Therefore, the least common multiple of 4609 and 4616 is 21275144.