Least Common Multiple of 4723 and 4727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4723 and 4727 the smallest integer that is 22325621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4723 and 4727 is 22325621.

LCM(4723,4727) = 22325621

LCM of 4723 and 4727

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

LCM of:
and

Least Common Multiple of 4723 and 4727

LCM of 4723 and 4727 is 22325621

Least common multiple can be found by multiplying the highest exponent prime factors of 4723 and 4727. First we will calculate the prime factors of 4723 and 4727.

Prime Factorization of 4723


4723 4723
1

Prime factors of 4723 are 4723. Prime factorization of 4723 in exponential form is:

4723 = 47231

Prime Factorization of 4727


29 4727
163 163
1

Prime factors of 4727 are 29,163. Prime factorization of 4727 in exponential form is:

4727 = 291×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4723 and 4727.

LCM(4723,4727) = 291×1631×47231
LCM(4723,4727) = 22325621

Factors of 4723

List of positive integer factors of 4723 that divides 4723 without a remainder.

1, 4723

Factors of 4727

List of positive integer factors of 4727 that divides 4727 without a remainder.

1, 29, 163, 4727

Least Common Multiple of 4723 and 4727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4723 and 4727, than apply into the LCM equation.

GCF(4723,4727) = 1
LCM(4723,4727) = ( 4723 × 4727) / 1
LCM(4723,4727) = 22325621 / 1
LCM(4723,4727) = 22325621

Properties of LCM 4723 and 4727

(i) The LCM of 4727 and 4723 is associative

LCM of 4723 and 4727 = LCM of 4727 and 4723

Related Least Common Multiples of 4723

Related Least Common Multiples of 4727

Frequently Asked Questions on LCM of 4723 and 4727

1. What is the LCM of 4723 and 4727?

Answer: LCM of 4723 and 4727 is 22325621.

2. What are the Factors of 4723?

Answer: Factors of 4723 are 1, 4723. There are 2 integers that are factors of 4723. The greatest factor of 4723 is 4723.

3. What are the Factors of 4727?

Answer: Factors of 4727 are 1, 29, 163, 4727. There are 4 integers that are factors of 4727. The greatest factor of 4727 is 4727.

4. How to Find the LCM of 4723 and 4727?

Answer:

Least Common Multiple of 4723 and 4727 = 22325621

Step 1: Find the prime factorization of 4723

4723 = 4723

Step 2: Find the prime factorization of 4727

4727 = 29 x 163

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

LCM = 22325621 = 29 x 163 x 4723

Step 4: Therefore, the least common multiple of 4723 and 4727 is 22325621.