Least Common Multiple of 4712 and 4720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4712 and 4720 the smallest integer that is 2780080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4712 and 4720 is 2780080.

LCM(4712,4720) = 2780080

LCM of 4712 and 4720

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

LCM of:
and

Least Common Multiple of 4712 and 4720

LCM of 4712 and 4720 is 2780080

Least common multiple can be found by multiplying the highest exponent prime factors of 4712 and 4720. First we will calculate the prime factors of 4712 and 4720.

Prime Factorization of 4712


2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 4712 are 2, 19,31. Prime factorization of 4712 in exponential form is:

4712 = 23×191×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4712 and 4720.

LCM(4712,4720) = 24×51×191×311×591
LCM(4712,4720) = 2780080

Factors of 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712

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

Least Common Multiple of 4712 and 4720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4712 and 4720, than apply into the LCM equation.

GCF(4712,4720) = 8
LCM(4712,4720) = ( 4712 × 4720) / 8
LCM(4712,4720) = 22240640 / 8
LCM(4712,4720) = 2780080

Properties of LCM 4712 and 4720

(i) The LCM of 4720 and 4712 is associative

LCM of 4712 and 4720 = LCM of 4720 and 4712

Related Least Common Multiples of 4712

Related Least Common Multiples of 4720

Frequently Asked Questions on LCM of 4712 and 4720

1. What is the LCM of 4712 and 4720?

Answer: LCM of 4712 and 4720 is 2780080.

2. What are the Factors of 4712?

Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.

3. 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.

4. How to Find the LCM of 4712 and 4720?

Answer:

Least Common Multiple of 4712 and 4720 = 2780080

Step 1: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

Step 2: Find the prime factorization of 4720

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

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

LCM = 2780080 = 2 x 2 x 2 x 2 x 5 x 19 x 31 x 59

Step 4: Therefore, the least common multiple of 4712 and 4720 is 2780080.