Least Common Multiple of 967 and 975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 967 and 975 the smallest integer that is 942825 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 975 is 942825.

LCM(967,975) = 942825

LCM of 967 and 975

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

LCM of:
and

Least Common Multiple of 967 and 975

LCM of 967 and 975 is 942825

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 975. First we will calculate the prime factors of 967 and 975.

Prime Factorization of 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 967 and 975.

LCM(967,975) = 31×52×131×9671
LCM(967,975) = 942825

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1, 967

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Least Common Multiple of 967 and 975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 967 and 975, than apply into the LCM equation.

GCF(967,975) = 1
LCM(967,975) = ( 967 × 975) / 1
LCM(967,975) = 942825 / 1
LCM(967,975) = 942825

Properties of LCM 967 and 975

(i) The LCM of 975 and 967 is associative

LCM of 967 and 975 = LCM of 975 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 975

Frequently Asked Questions on LCM of 967 and 975

1. What is the LCM of 967 and 975?

Answer: LCM of 967 and 975 is 942825.

2. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

3. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

4. How to Find the LCM of 967 and 975?

Answer:

Least Common Multiple of 967 and 975 = 942825

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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

LCM = 942825 = 3 x 5 x 5 x 13 x 967

Step 4: Therefore, the least common multiple of 967 and 975 is 942825.