Least Common Multiple of 7874 and 7875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7874 and 7875 the smallest integer that is 62007750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7874 and 7875 is 62007750.

LCM(7874,7875) = 62007750

LCM of 7874 and 7875

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

LCM of:
and

Least Common Multiple of 7874 and 7875

LCM of 7874 and 7875 is 62007750

Least common multiple can be found by multiplying the highest exponent prime factors of 7874 and 7875. First we will calculate the prime factors of 7874 and 7875.

Prime Factorization of 7874


2 7874
31 3937
127 127
1

Prime factors of 7874 are 2, 31,127. Prime factorization of 7874 in exponential form is:

7874 = 21×311×1271

Prime Factorization of 7875


3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 7875 are 3, 5,7. Prime factorization of 7875 in exponential form is:

7875 = 32×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 7874 and 7875.

LCM(7874,7875) = 21×32×53×71×311×1271
LCM(7874,7875) = 62007750

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1, 2, 31, 62, 127, 254, 3937, 7874

Factors of 7875

List of positive integer factors of 7875 that divides 7875 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875

Least Common Multiple of 7874 and 7875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7874 and 7875, than apply into the LCM equation.

GCF(7874,7875) = 1
LCM(7874,7875) = ( 7874 × 7875) / 1
LCM(7874,7875) = 62007750 / 1
LCM(7874,7875) = 62007750

Properties of LCM 7874 and 7875

(i) The LCM of 7875 and 7874 is associative

LCM of 7874 and 7875 = LCM of 7875 and 7874

Related Least Common Multiples of 7874

Related Least Common Multiples of 7875

Frequently Asked Questions on LCM of 7874 and 7875

1. What is the LCM of 7874 and 7875?

Answer: LCM of 7874 and 7875 is 62007750.

2. What are the Factors of 7874?

Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.

3. What are the Factors of 7875?

Answer: Factors of 7875 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625, 7875. There are 24 integers that are factors of 7875. The greatest factor of 7875 is 7875.

4. How to Find the LCM of 7874 and 7875?

Answer:

Least Common Multiple of 7874 and 7875 = 62007750

Step 1: Find the prime factorization of 7874

7874 = 2 x 31 x 127

Step 2: Find the prime factorization of 7875

7875 = 3 x 3 x 5 x 5 x 5 x 7

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

LCM = 62007750 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 31 x 127

Step 4: Therefore, the least common multiple of 7874 and 7875 is 62007750.