Least Common Multiple of 4731 and 4739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4731 and 4739 the smallest integer that is 22420209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4731 and 4739 is 22420209.

LCM(4731,4739) = 22420209

LCM of 4731 and 4739

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

LCM of:
and

Least Common Multiple of 4731 and 4739

LCM of 4731 and 4739 is 22420209

Least common multiple can be found by multiplying the highest exponent prime factors of 4731 and 4739. First we will calculate the prime factors of 4731 and 4739.

Prime Factorization of 4731


3 4731
19 1577
83 83
1

Prime factors of 4731 are 3, 19,83. Prime factorization of 4731 in exponential form is:

4731 = 31×191×831

Prime Factorization of 4739


7 4739
677 677
1

Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:

4739 = 71×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 4731 and 4739.

LCM(4731,4739) = 31×71×191×831×6771
LCM(4731,4739) = 22420209

Factors of 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1, 3, 19, 57, 83, 249, 1577, 4731

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1, 7, 677, 4739

Least Common Multiple of 4731 and 4739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4731 and 4739, than apply into the LCM equation.

GCF(4731,4739) = 1
LCM(4731,4739) = ( 4731 × 4739) / 1
LCM(4731,4739) = 22420209 / 1
LCM(4731,4739) = 22420209

Properties of LCM 4731 and 4739

(i) The LCM of 4739 and 4731 is associative

LCM of 4731 and 4739 = LCM of 4739 and 4731

Related Least Common Multiples of 4731

Related Least Common Multiples of 4739

Frequently Asked Questions on LCM of 4731 and 4739

1. What is the LCM of 4731 and 4739?

Answer: LCM of 4731 and 4739 is 22420209.

2. What are the Factors of 4731?

Answer: Factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731. There are 8 integers that are factors of 4731. The greatest factor of 4731 is 4731.

3. What are the Factors of 4739?

Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.

4. How to Find the LCM of 4731 and 4739?

Answer:

Least Common Multiple of 4731 and 4739 = 22420209

Step 1: Find the prime factorization of 4731

4731 = 3 x 19 x 83

Step 2: Find the prime factorization of 4739

4739 = 7 x 677

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

LCM = 22420209 = 3 x 7 x 19 x 83 x 677

Step 4: Therefore, the least common multiple of 4731 and 4739 is 22420209.