Least Common Multiple of 4616 and 4618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4616 and 4618 the smallest integer that is 10658344 that is divisible by both numbers.

Least Common Multiple (LCM) of 4616 and 4618 is 10658344.

LCM(4616,4618) = 10658344

LCM of 4616 and 4618

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

LCM of:
and

Least Common Multiple of 4616 and 4618

LCM of 4616 and 4618 is 10658344

Least common multiple can be found by multiplying the highest exponent prime factors of 4616 and 4618. First we will calculate the prime factors of 4616 and 4618.

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

Prime Factorization of 4618


2 4618
2309 2309
1

Prime factors of 4618 are 2,2309. Prime factorization of 4618 in exponential form is:

4618 = 21×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4618.

LCM(4616,4618) = 23×5771×23091
LCM(4616,4618) = 10658344

Factors of 4616

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

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

Factors of 4618

List of positive integer factors of 4618 that divides 4618 without a remainder.

1, 2, 2309, 4618

Least Common Multiple of 4616 and 4618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4616 and 4618, than apply into the LCM equation.

GCF(4616,4618) = 2
LCM(4616,4618) = ( 4616 × 4618) / 2
LCM(4616,4618) = 21316688 / 2
LCM(4616,4618) = 10658344

Properties of LCM 4616 and 4618

(i) The LCM of 4618 and 4616 is associative

LCM of 4616 and 4618 = LCM of 4618 and 4616

Related Least Common Multiples of 4616

Related Least Common Multiples of 4618

Frequently Asked Questions on LCM of 4616 and 4618

1. What is the LCM of 4616 and 4618?

Answer: LCM of 4616 and 4618 is 10658344.

2. 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.

3. What are the Factors of 4618?

Answer: Factors of 4618 are 1, 2, 2309, 4618. There are 4 integers that are factors of 4618. The greatest factor of 4618 is 4618.

4. How to Find the LCM of 4616 and 4618?

Answer:

Least Common Multiple of 4616 and 4618 = 10658344

Step 1: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 4618

4618 = 2 x 2309

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

LCM = 10658344 = 2 x 2 x 2 x 577 x 2309

Step 4: Therefore, the least common multiple of 4616 and 4618 is 10658344.