Least Common Multiple of 4746 and 4752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4746 and 4752 the smallest integer that is 3758832 that is divisible by both numbers.

Least Common Multiple (LCM) of 4746 and 4752 is 3758832.

LCM(4746,4752) = 3758832

LCM of 4746 and 4752

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

LCM of:
and

Least Common Multiple of 4746 and 4752

LCM of 4746 and 4752 is 3758832

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4752. First we will calculate the prime factors of 4746 and 4752.

Prime Factorization of 4746


2 4746
3 2373
7 791
113 113
1

Prime factors of 4746 are 2, 3, 7,113. Prime factorization of 4746 in exponential form is:

4746 = 21×31×71×1131

Prime Factorization of 4752


2 4752
2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 4752 are 2, 3,11. Prime factorization of 4752 in exponential form is:

4752 = 24×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4752.

LCM(4746,4752) = 24×33×71×111×1131
LCM(4746,4752) = 3758832

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752

Least Common Multiple of 4746 and 4752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4746 and 4752, than apply into the LCM equation.

GCF(4746,4752) = 6
LCM(4746,4752) = ( 4746 × 4752) / 6
LCM(4746,4752) = 22552992 / 6
LCM(4746,4752) = 3758832

Properties of LCM 4746 and 4752

(i) The LCM of 4752 and 4746 is associative

LCM of 4746 and 4752 = LCM of 4752 and 4746

Related Least Common Multiples of 4746

Related Least Common Multiples of 4752

Frequently Asked Questions on LCM of 4746 and 4752

1. What is the LCM of 4746 and 4752?

Answer: LCM of 4746 and 4752 is 3758832.

2. What are the Factors of 4746?

Answer: Factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746. There are 16 integers that are factors of 4746. The greatest factor of 4746 is 4746.

3. What are the Factors of 4752?

Answer: Factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752. There are 40 integers that are factors of 4752. The greatest factor of 4752 is 4752.

4. How to Find the LCM of 4746 and 4752?

Answer:

Least Common Multiple of 4746 and 4752 = 3758832

Step 1: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 4752

4752 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11

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

LCM = 3758832 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 4746 and 4752 is 3758832.