Least Common Multiple of 978 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 978 and 979 the smallest integer that is 957462 that is divisible by both numbers.

Least Common Multiple (LCM) of 978 and 979 is 957462.

LCM(978,979) = 957462

LCM of 978 and 979

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

LCM of:
and

Least Common Multiple of 978 and 979

LCM of 978 and 979 is 957462

Least common multiple can be found by multiplying the highest exponent prime factors of 978 and 979. First we will calculate the prime factors of 978 and 979.

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

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 978 and 979.

LCM(978,979) = 21×31×111×891×1631
LCM(978,979) = 957462

Factors of 978

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

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

Factors of 979

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

1, 11, 89, 979

Least Common Multiple of 978 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 978 and 979, than apply into the LCM equation.

GCF(978,979) = 1
LCM(978,979) = ( 978 × 979) / 1
LCM(978,979) = 957462 / 1
LCM(978,979) = 957462

Properties of LCM 978 and 979

(i) The LCM of 979 and 978 is associative

LCM of 978 and 979 = LCM of 979 and 978

Related Least Common Multiples of 978

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 978 and 979

1. What is the LCM of 978 and 979?

Answer: LCM of 978 and 979 is 957462.

2. 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.

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 978 and 979?

Answer:

Least Common Multiple of 978 and 979 = 957462

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

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 = 957462 = 2 x 3 x 11 x 89 x 163

Step 4: Therefore, the least common multiple of 978 and 979 is 957462.