Least Common Multiple of 4708 and 4712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4708 and 4712 the smallest integer that is 5546024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4708 and 4712 is 5546024.

LCM(4708,4712) = 5546024

LCM of 4708 and 4712

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

LCM of:
and

Least Common Multiple of 4708 and 4712

LCM of 4708 and 4712 is 5546024

Least common multiple can be found by multiplying the highest exponent prime factors of 4708 and 4712. First we will calculate the prime factors of 4708 and 4712.

Prime Factorization of 4708


2 4708
2 2354
11 1177
107 107
1

Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:

4708 = 22×111×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4708 and 4712.

LCM(4708,4712) = 23×111×191×311×1071
LCM(4708,4712) = 5546024

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708

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

Least Common Multiple of 4708 and 4712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4708 and 4712, than apply into the LCM equation.

GCF(4708,4712) = 4
LCM(4708,4712) = ( 4708 × 4712) / 4
LCM(4708,4712) = 22184096 / 4
LCM(4708,4712) = 5546024

Properties of LCM 4708 and 4712

(i) The LCM of 4712 and 4708 is associative

LCM of 4708 and 4712 = LCM of 4712 and 4708

Related Least Common Multiples of 4708

Related Least Common Multiples of 4712

Frequently Asked Questions on LCM of 4708 and 4712

1. What is the LCM of 4708 and 4712?

Answer: LCM of 4708 and 4712 is 5546024.

2. What are the Factors of 4708?

Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.

3. 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.

4. How to Find the LCM of 4708 and 4712?

Answer:

Least Common Multiple of 4708 and 4712 = 5546024

Step 1: Find the prime factorization of 4708

4708 = 2 x 2 x 11 x 107

Step 2: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

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

LCM = 5546024 = 2 x 2 x 2 x 11 x 19 x 31 x 107

Step 4: Therefore, the least common multiple of 4708 and 4712 is 5546024.