Least Common Multiple of 81746 and 81750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81746 and 81750 the smallest integer that is 3341367750 that is divisible by both numbers.

Least Common Multiple (LCM) of 81746 and 81750 is 3341367750.

LCM(81746,81750) = 3341367750

LCM of 81746 and 81750

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

LCM of:
and

Least Common Multiple of 81746 and 81750

LCM of 81746 and 81750 is 3341367750

Least common multiple can be found by multiplying the highest exponent prime factors of 81746 and 81750. First we will calculate the prime factors of 81746 and 81750.

Prime Factorization of 81746


2 81746
7 40873
5839 5839
1

Prime factors of 81746 are 2, 7,5839. Prime factorization of 81746 in exponential form is:

81746 = 21×71×58391

Prime Factorization of 81750


2 81750
3 40875
5 13625
5 2725
5 545
109 109
1

Prime factors of 81750 are 2, 3, 5,109. Prime factorization of 81750 in exponential form is:

81750 = 21×31×53×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 81746 and 81750.

LCM(81746,81750) = 21×31×53×71×1091×58391
LCM(81746,81750) = 3341367750

Factors of 81746

List of positive integer factors of 81746 that divides 81746 without a remainder.

1, 2, 7, 14, 5839, 11678, 40873, 81746

Factors of 81750

List of positive integer factors of 81750 that divides 81750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 125, 150, 218, 250, 327, 375, 545, 654, 750, 1090, 1635, 2725, 3270, 5450, 8175, 13625, 16350, 27250, 40875, 81750

Least Common Multiple of 81746 and 81750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81746 and 81750, than apply into the LCM equation.

GCF(81746,81750) = 2
LCM(81746,81750) = ( 81746 × 81750) / 2
LCM(81746,81750) = 6682735500 / 2
LCM(81746,81750) = 3341367750

Properties of LCM 81746 and 81750

(i) The LCM of 81750 and 81746 is associative

LCM of 81746 and 81750 = LCM of 81750 and 81746

Related Least Common Multiples of 81746

Related Least Common Multiples of 81750

Frequently Asked Questions on LCM of 81746 and 81750

1. What is the LCM of 81746 and 81750?

Answer: LCM of 81746 and 81750 is 3341367750.

2. What are the Factors of 81746?

Answer: Factors of 81746 are 1, 2, 7, 14, 5839, 11678, 40873, 81746. There are 8 integers that are factors of 81746. The greatest factor of 81746 is 81746.

3. What are the Factors of 81750?

Answer: Factors of 81750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 125, 150, 218, 250, 327, 375, 545, 654, 750, 1090, 1635, 2725, 3270, 5450, 8175, 13625, 16350, 27250, 40875, 81750. There are 32 integers that are factors of 81750. The greatest factor of 81750 is 81750.

4. How to Find the LCM of 81746 and 81750?

Answer:

Least Common Multiple of 81746 and 81750 = 3341367750

Step 1: Find the prime factorization of 81746

81746 = 2 x 7 x 5839

Step 2: Find the prime factorization of 81750

81750 = 2 x 3 x 5 x 5 x 5 x 109

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

LCM = 3341367750 = 2 x 3 x 5 x 5 x 5 x 7 x 109 x 5839

Step 4: Therefore, the least common multiple of 81746 and 81750 is 3341367750.