Least Common Multiple of 964 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 964 and 971 the smallest integer that is 936044 that is divisible by both numbers.

Least Common Multiple (LCM) of 964 and 971 is 936044.

LCM(964,971) = 936044

LCM of 964 and 971

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

LCM of:
and

Least Common Multiple of 964 and 971

LCM of 964 and 971 is 936044

Least common multiple can be found by multiplying the highest exponent prime factors of 964 and 971. First we will calculate the prime factors of 964 and 971.

Prime Factorization of 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

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 964 and 971.

LCM(964,971) = 22×2411×9711
LCM(964,971) = 936044

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Factors of 971

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

1, 971

Least Common Multiple of 964 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 964 and 971, than apply into the LCM equation.

GCF(964,971) = 1
LCM(964,971) = ( 964 × 971) / 1
LCM(964,971) = 936044 / 1
LCM(964,971) = 936044

Properties of LCM 964 and 971

(i) The LCM of 971 and 964 is associative

LCM of 964 and 971 = LCM of 971 and 964

Related Least Common Multiples of 964

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 964 and 971

1. What is the LCM of 964 and 971?

Answer: LCM of 964 and 971 is 936044.

2. What are the Factors of 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

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 964 and 971?

Answer:

Least Common Multiple of 964 and 971 = 936044

Step 1: Find the prime factorization of 964

964 = 2 x 2 x 241

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 = 936044 = 2 x 2 x 241 x 971

Step 4: Therefore, the least common multiple of 964 and 971 is 936044.