Least Common Multiple of 971 and 978

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 978 the smallest integer that is 949638 that is divisible by both numbers.

Least Common Multiple (LCM) of 971 and 978 is 949638.

LCM(971,978) = 949638

LCM of 971 and 978

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

LCM of:
and

Least Common Multiple of 971 and 978

LCM of 971 and 978 is 949638

Least common multiple can be found by multiplying the highest exponent prime factors of 971 and 978. First we will calculate the prime factors of 971 and 978.

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 978


2 978
3 489
163 163
1

Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 971 and 978.

LCM(971,978) = 21×31×1631×9711
LCM(971,978) = 949638

Factors of 971

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

1, 971

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Least Common Multiple of 971 and 978 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 978, than apply into the LCM equation.

GCF(971,978) = 1
LCM(971,978) = ( 971 × 978) / 1
LCM(971,978) = 949638 / 1
LCM(971,978) = 949638

Properties of LCM 971 and 978

(i) The LCM of 978 and 971 is associative

LCM of 971 and 978 = LCM of 978 and 971

Related Least Common Multiples of 971

Related Least Common Multiples of 978

Frequently Asked Questions on LCM of 971 and 978

1. What is the LCM of 971 and 978?

Answer: LCM of 971 and 978 is 949638.

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 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. How to Find the LCM of 971 and 978?

Answer:

Least Common Multiple of 971 and 978 = 949638

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 978

978 = 2 x 3 x 163

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

LCM = 949638 = 2 x 3 x 163 x 971

Step 4: Therefore, the least common multiple of 971 and 978 is 949638.