Least Common Multiple of 4717 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 4717 and 4722 the smallest integer that is 22273674 that is divisible by both numbers.

Least Common Multiple (LCM) of 4717 and 4722 is 22273674.

LCM(4717,4722) = 22273674

LCM of 4717 and 4722

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

LCM of:
and

Least Common Multiple of 4717 and 4722

LCM of 4717 and 4722 is 22273674

Least common multiple can be found by multiplying the highest exponent prime factors of 4717 and 4722. First we will calculate the prime factors of 4717 and 4722.

Prime Factorization of 4717


53 4717
89 89
1

Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:

4717 = 531×891

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 4717 and 4722.

LCM(4717,4722) = 21×31×531×891×7871
LCM(4717,4722) = 22273674

Factors of 4717

List of positive integer factors of 4717 that divides 4717 without a remainder.

1, 53, 89, 4717

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 4717 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 4717 and 4722, than apply into the LCM equation.

GCF(4717,4722) = 1
LCM(4717,4722) = ( 4717 × 4722) / 1
LCM(4717,4722) = 22273674 / 1
LCM(4717,4722) = 22273674

Properties of LCM 4717 and 4722

(i) The LCM of 4722 and 4717 is associative

LCM of 4717 and 4722 = LCM of 4722 and 4717

Related Least Common Multiples of 4717

Related Least Common Multiples of 4722

Frequently Asked Questions on LCM of 4717 and 4722

1. What is the LCM of 4717 and 4722?

Answer: LCM of 4717 and 4722 is 22273674.

2. What are the Factors of 4717?

Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.

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 4717 and 4722?

Answer:

Least Common Multiple of 4717 and 4722 = 22273674

Step 1: Find the prime factorization of 4717

4717 = 53 x 89

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 = 22273674 = 2 x 3 x 53 x 89 x 787

Step 4: Therefore, the least common multiple of 4717 and 4722 is 22273674.