Least Common Multiple of 979 and 980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 979 and 980 the smallest integer that is 959420 that is divisible by both numbers.

Least Common Multiple (LCM) of 979 and 980 is 959420.

LCM(979,980) = 959420

LCM of 979 and 980

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

LCM of:
and

Least Common Multiple of 979 and 980

LCM of 979 and 980 is 959420

Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 980. First we will calculate the prime factors of 979 and 980.

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

Prime Factorization of 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2, 5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 979 and 980.

LCM(979,980) = 22×51×72×111×891
LCM(979,980) = 959420

Factors of 979

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

1, 11, 89, 979

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Least Common Multiple of 979 and 980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 979 and 980, than apply into the LCM equation.

GCF(979,980) = 1
LCM(979,980) = ( 979 × 980) / 1
LCM(979,980) = 959420 / 1
LCM(979,980) = 959420

Properties of LCM 979 and 980

(i) The LCM of 980 and 979 is associative

LCM of 979 and 980 = LCM of 980 and 979

Related Least Common Multiples of 979

Related Least Common Multiples of 980

Frequently Asked Questions on LCM of 979 and 980

1. What is the LCM of 979 and 980?

Answer: LCM of 979 and 980 is 959420.

2. 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.

3. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

4. How to Find the LCM of 979 and 980?

Answer:

Least Common Multiple of 979 and 980 = 959420

Step 1: Find the prime factorization of 979

979 = 11 x 89

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

LCM = 959420 = 2 x 2 x 5 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 979 and 980 is 959420.