Least Common Multiple of 4716 and 4722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4716 and 4722 the smallest integer that is 3711492 that is divisible by both numbers.

Least Common Multiple (LCM) of 4716 and 4722 is 3711492.

LCM(4716,4722) = 3711492

LCM of 4716 and 4722

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

LCM of:
and

Least Common Multiple of 4716 and 4722

LCM of 4716 and 4722 is 3711492

Least common multiple can be found by multiplying the highest exponent prime factors of 4716 and 4722. First we will calculate the prime factors of 4716 and 4722.

Prime Factorization of 4716


2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 4716 are 2, 3,131. Prime factorization of 4716 in exponential form is:

4716 = 22×32×1311

Prime Factorization of 4722


2 4722
3 2361
787 787
1

Prime factors of 4722 are 2, 3,787. Prime factorization of 4722 in exponential form is:

4722 = 21×31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 4716 and 4722.

LCM(4716,4722) = 22×32×1311×7871
LCM(4716,4722) = 3711492

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716

Factors of 4722

List of positive integer factors of 4722 that divides 4722 without a remainder.

1, 2, 3, 6, 787, 1574, 2361, 4722

Least Common Multiple of 4716 and 4722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4716 and 4722, than apply into the LCM equation.

GCF(4716,4722) = 6
LCM(4716,4722) = ( 4716 × 4722) / 6
LCM(4716,4722) = 22268952 / 6
LCM(4716,4722) = 3711492

Properties of LCM 4716 and 4722

(i) The LCM of 4722 and 4716 is associative

LCM of 4716 and 4722 = LCM of 4722 and 4716

Related Least Common Multiples of 4716

Related Least Common Multiples of 4722

Frequently Asked Questions on LCM of 4716 and 4722

1. What is the LCM of 4716 and 4722?

Answer: LCM of 4716 and 4722 is 3711492.

2. What are the Factors of 4716?

Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.

3. What are the Factors of 4722?

Answer: Factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722. There are 8 integers that are factors of 4722. The greatest factor of 4722 is 4722.

4. How to Find the LCM of 4716 and 4722?

Answer:

Least Common Multiple of 4716 and 4722 = 3711492

Step 1: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

Step 2: Find the prime factorization of 4722

4722 = 2 x 3 x 787

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

LCM = 3711492 = 2 x 2 x 3 x 3 x 131 x 787

Step 4: Therefore, the least common multiple of 4716 and 4722 is 3711492.