Least Common Multiple of 967 and 971

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 971 the smallest integer that is 938957 that is divisible by both numbers.

Least Common Multiple (LCM) of 967 and 971 is 938957.

LCM(967,971) = 938957

LCM of 967 and 971

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

LCM of:
and

Least Common Multiple of 967 and 971

LCM of 967 and 971 is 938957

Least common multiple can be found by multiplying the highest exponent prime factors of 967 and 971. First we will calculate the prime factors of 967 and 971.

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 971


971 971
1

Prime factors of 971 are 971. Prime factorization of 971 in exponential form is:

971 = 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 967 and 971.

LCM(967,971) = 9671×9711
LCM(967,971) = 938957

Factors of 967

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

1, 967

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1, 971

Least Common Multiple of 967 and 971 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 971, than apply into the LCM equation.

GCF(967,971) = 1
LCM(967,971) = ( 967 × 971) / 1
LCM(967,971) = 938957 / 1
LCM(967,971) = 938957

Properties of LCM 967 and 971

(i) The LCM of 971 and 967 is associative

LCM of 967 and 971 = LCM of 971 and 967

Related Least Common Multiples of 967

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 967 and 971

1. What is the LCM of 967 and 971?

Answer: LCM of 967 and 971 is 938957.

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 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

4. How to Find the LCM of 967 and 971?

Answer:

Least Common Multiple of 967 and 971 = 938957

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 971

971 = 971

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

LCM = 938957 = 967 x 971

Step 4: Therefore, the least common multiple of 967 and 971 is 938957.