Least Common Multiple of 971 and 977

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 977 the smallest integer that is 948667 that is divisible by both numbers.

Least Common Multiple (LCM) of 971 and 977 is 948667.

LCM(971,977) = 948667

LCM of 971 and 977

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

LCM of:
and

Least Common Multiple of 971 and 977

LCM of 971 and 977 is 948667

Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 977. First we will calculate the prime factors of 971 and 977.

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 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 977.

LCM(971,977) = 9711×9771
LCM(971,977) = 948667

Factors of 971

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

1, 971

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Least Common Multiple of 971 and 977 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 977, than apply into the LCM equation.

GCF(971,977) = 1
LCM(971,977) = ( 971 × 977) / 1
LCM(971,977) = 948667 / 1
LCM(971,977) = 948667

Properties of LCM 971 and 977

(i) The LCM of 977 and 971 is associative

LCM of 971 and 977 = LCM of 977 and 971

Related Least Common Multiples of 971

Related Least Common Multiples of 977

Frequently Asked Questions on LCM of 971 and 977

1. What is the LCM of 971 and 977?

Answer: LCM of 971 and 977 is 948667.

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 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

4. How to Find the LCM of 971 and 977?

Answer:

Least Common Multiple of 971 and 977 = 948667

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 977

977 = 977

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

LCM = 948667 = 971 x 977

Step 4: Therefore, the least common multiple of 971 and 977 is 948667.