Least Common Multiple of 4736 and 4740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4736 and 4740 the smallest integer that is 5612160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4736 and 4740 is 5612160.

LCM(4736,4740) = 5612160

LCM of 4736 and 4740

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

LCM of:
and

Least Common Multiple of 4736 and 4740

LCM of 4736 and 4740 is 5612160

Least common multiple can be found by multiplying the highest exponent prime factors of 4736 and 4740. First we will calculate the prime factors of 4736 and 4740.

Prime Factorization of 4736


2 4736
2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 4736 are 2,37. Prime factorization of 4736 in exponential form is:

4736 = 27×371

Prime Factorization of 4740


2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 4740 are 2, 3, 5,79. Prime factorization of 4740 in exponential form is:

4740 = 22×31×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4736 and 4740.

LCM(4736,4740) = 27×31×51×371×791
LCM(4736,4740) = 5612160

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736

Factors of 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740

Least Common Multiple of 4736 and 4740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4736 and 4740, than apply into the LCM equation.

GCF(4736,4740) = 4
LCM(4736,4740) = ( 4736 × 4740) / 4
LCM(4736,4740) = 22448640 / 4
LCM(4736,4740) = 5612160

Properties of LCM 4736 and 4740

(i) The LCM of 4740 and 4736 is associative

LCM of 4736 and 4740 = LCM of 4740 and 4736

Related Least Common Multiples of 4736

Related Least Common Multiples of 4740

Frequently Asked Questions on LCM of 4736 and 4740

1. What is the LCM of 4736 and 4740?

Answer: LCM of 4736 and 4740 is 5612160.

2. What are the Factors of 4736?

Answer: Factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736. There are 16 integers that are factors of 4736. The greatest factor of 4736 is 4736.

3. What are the Factors of 4740?

Answer: Factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740. There are 24 integers that are factors of 4740. The greatest factor of 4740 is 4740.

4. How to Find the LCM of 4736 and 4740?

Answer:

Least Common Multiple of 4736 and 4740 = 5612160

Step 1: Find the prime factorization of 4736

4736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 4740

4740 = 2 x 2 x 3 x 5 x 79

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

LCM = 5612160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 37 x 79

Step 4: Therefore, the least common multiple of 4736 and 4740 is 5612160.