Least Common Multiple of 4720 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 4720 and 4722 the smallest integer that is 11143920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4720 and 4722 is 11143920.

LCM(4720,4722) = 11143920

LCM of 4720 and 4722

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

LCM of:
and

Least Common Multiple of 4720 and 4722

LCM of 4720 and 4722 is 11143920

Least common multiple can be found by multiplying the highest exponent prime factors of 4720 and 4722. First we will calculate the prime factors of 4720 and 4722.

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2, 5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

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 4720 and 4722.

LCM(4720,4722) = 24×31×51×591×7871
LCM(4720,4722) = 11143920

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720

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 4720 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 4720 and 4722, than apply into the LCM equation.

GCF(4720,4722) = 2
LCM(4720,4722) = ( 4720 × 4722) / 2
LCM(4720,4722) = 22287840 / 2
LCM(4720,4722) = 11143920

Properties of LCM 4720 and 4722

(i) The LCM of 4722 and 4720 is associative

LCM of 4720 and 4722 = LCM of 4722 and 4720

Related Least Common Multiples of 4720

Related Least Common Multiples of 4722

Frequently Asked Questions on LCM of 4720 and 4722

1. What is the LCM of 4720 and 4722?

Answer: LCM of 4720 and 4722 is 11143920.

2. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

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 4720 and 4722?

Answer:

Least Common Multiple of 4720 and 4722 = 11143920

Step 1: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

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 = 11143920 = 2 x 2 x 2 x 2 x 3 x 5 x 59 x 787

Step 4: Therefore, the least common multiple of 4720 and 4722 is 11143920.