Least Common Multiple of 4726 and 4734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4726 and 4734 the smallest integer that is 11186442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4726 and 4734 is 11186442.

LCM(4726,4734) = 11186442

LCM of 4726 and 4734

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

LCM of:
and

Least Common Multiple of 4726 and 4734

LCM of 4726 and 4734 is 11186442

Least common multiple can be found by multiplying the highest exponent prime factors of 4726 and 4734. First we will calculate the prime factors of 4726 and 4734.

Prime Factorization of 4726


2 4726
17 2363
139 139
1

Prime factors of 4726 are 2, 17,139. Prime factorization of 4726 in exponential form is:

4726 = 21×171×1391

Prime Factorization of 4734


2 4734
3 2367
3 789
263 263
1

Prime factors of 4734 are 2, 3,263. Prime factorization of 4734 in exponential form is:

4734 = 21×32×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4726 and 4734.

LCM(4726,4734) = 21×32×171×1391×2631
LCM(4726,4734) = 11186442

Factors of 4726

List of positive integer factors of 4726 that divides 4726 without a remainder.

1, 2, 17, 34, 139, 278, 2363, 4726

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734

Least Common Multiple of 4726 and 4734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4726 and 4734, than apply into the LCM equation.

GCF(4726,4734) = 2
LCM(4726,4734) = ( 4726 × 4734) / 2
LCM(4726,4734) = 22372884 / 2
LCM(4726,4734) = 11186442

Properties of LCM 4726 and 4734

(i) The LCM of 4734 and 4726 is associative

LCM of 4726 and 4734 = LCM of 4734 and 4726

Related Least Common Multiples of 4726

Related Least Common Multiples of 4734

Frequently Asked Questions on LCM of 4726 and 4734

1. What is the LCM of 4726 and 4734?

Answer: LCM of 4726 and 4734 is 11186442.

2. What are the Factors of 4726?

Answer: Factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726. There are 8 integers that are factors of 4726. The greatest factor of 4726 is 4726.

3. What are the Factors of 4734?

Answer: Factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734. There are 12 integers that are factors of 4734. The greatest factor of 4734 is 4734.

4. How to Find the LCM of 4726 and 4734?

Answer:

Least Common Multiple of 4726 and 4734 = 11186442

Step 1: Find the prime factorization of 4726

4726 = 2 x 17 x 139

Step 2: Find the prime factorization of 4734

4734 = 2 x 3 x 3 x 263

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

LCM = 11186442 = 2 x 3 x 3 x 17 x 139 x 263

Step 4: Therefore, the least common multiple of 4726 and 4734 is 11186442.