Least Common Multiple of 971 and 976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 971 and 976 the smallest integer that is 947696 that is divisible by both numbers.

Least Common Multiple (LCM) of 971 and 976 is 947696.

LCM(971,976) = 947696

LCM of 971 and 976

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

LCM of:
and

Least Common Multiple of 971 and 976

LCM of 971 and 976 is 947696

Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 976. First we will calculate the prime factors of 971 and 976.

Prime Factorization of 971


971 971
1

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

971 = 9711

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 976.

LCM(971,976) = 24×611×9711
LCM(971,976) = 947696

Factors of 971

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

1, 971

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Least Common Multiple of 971 and 976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 971 and 976, than apply into the LCM equation.

GCF(971,976) = 1
LCM(971,976) = ( 971 × 976) / 1
LCM(971,976) = 947696 / 1
LCM(971,976) = 947696

Properties of LCM 971 and 976

(i) The LCM of 976 and 971 is associative

LCM of 971 and 976 = LCM of 976 and 971

Related Least Common Multiples of 971

Related Least Common Multiples of 976

Frequently Asked Questions on LCM of 971 and 976

1. What is the LCM of 971 and 976?

Answer: LCM of 971 and 976 is 947696.

2. 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.

3. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the LCM of 971 and 976?

Answer:

Least Common Multiple of 971 and 976 = 947696

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

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

LCM = 947696 = 2 x 2 x 2 x 2 x 61 x 971

Step 4: Therefore, the least common multiple of 971 and 976 is 947696.