Least Common Multiple of 963 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 963 and 971 the smallest integer that is 935073 that is divisible by both numbers.

Least Common Multiple (LCM) of 963 and 971 is 935073.

LCM(963,971) = 935073

LCM of 963 and 971

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

LCM of:
and

Least Common Multiple of 963 and 971

LCM of 963 and 971 is 935073

Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 971. First we will calculate the prime factors of 963 and 971.

Prime Factorization of 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

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 963 and 971.

LCM(963,971) = 32×1071×9711
LCM(963,971) = 935073

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Factors of 971

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

1, 971

Least Common Multiple of 963 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 963 and 971, than apply into the LCM equation.

GCF(963,971) = 1
LCM(963,971) = ( 963 × 971) / 1
LCM(963,971) = 935073 / 1
LCM(963,971) = 935073

Properties of LCM 963 and 971

(i) The LCM of 971 and 963 is associative

LCM of 963 and 971 = LCM of 971 and 963

Related Least Common Multiples of 963

Related Least Common Multiples of 971

Frequently Asked Questions on LCM of 963 and 971

1. What is the LCM of 963 and 971?

Answer: LCM of 963 and 971 is 935073.

2. What are the Factors of 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

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 963 and 971?

Answer:

Least Common Multiple of 963 and 971 = 935073

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

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 = 935073 = 3 x 3 x 107 x 971

Step 4: Therefore, the least common multiple of 963 and 971 is 935073.