Least Common Multiple of 971 and 979

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 979 the smallest integer that is 950609 that is divisible by both numbers.

Least Common Multiple (LCM) of 971 and 979 is 950609.

LCM(971,979) = 950609

LCM of 971 and 979

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

LCM of:
and

Least Common Multiple of 971 and 979

LCM of 971 and 979 is 950609

Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 979. First we will calculate the prime factors of 971 and 979.

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 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 979.

LCM(971,979) = 111×891×9711
LCM(971,979) = 950609

Factors of 971

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

1, 971

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Least Common Multiple of 971 and 979 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 979, than apply into the LCM equation.

GCF(971,979) = 1
LCM(971,979) = ( 971 × 979) / 1
LCM(971,979) = 950609 / 1
LCM(971,979) = 950609

Properties of LCM 971 and 979

(i) The LCM of 979 and 971 is associative

LCM of 971 and 979 = LCM of 979 and 971

Related Least Common Multiples of 971

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 971 and 979

1. What is the LCM of 971 and 979?

Answer: LCM of 971 and 979 is 950609.

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 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

4. How to Find the LCM of 971 and 979?

Answer:

Least Common Multiple of 971 and 979 = 950609

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 979

979 = 11 x 89

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

LCM = 950609 = 11 x 89 x 971

Step 4: Therefore, the least common multiple of 971 and 979 is 950609.