Least Common Multiple of 975 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 975 and 979 the smallest integer that is 954525 that is divisible by both numbers.

Least Common Multiple (LCM) of 975 and 979 is 954525.

LCM(975,979) = 954525

LCM of 975 and 979

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

LCM of:
and

Least Common Multiple of 975 and 979

LCM of 975 and 979 is 954525

Least common multiple can be found by multiplying the highest exponent prime factors of 975 and 979. First we will calculate the prime factors of 975 and 979.

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

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 975 and 979.

LCM(975,979) = 31×52×111×131×891
LCM(975,979) = 954525

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Factors of 979

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

1, 11, 89, 979

Least Common Multiple of 975 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 975 and 979, than apply into the LCM equation.

GCF(975,979) = 1
LCM(975,979) = ( 975 × 979) / 1
LCM(975,979) = 954525 / 1
LCM(975,979) = 954525

Properties of LCM 975 and 979

(i) The LCM of 979 and 975 is associative

LCM of 975 and 979 = LCM of 979 and 975

Related Least Common Multiples of 975

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 975 and 979

1. What is the LCM of 975 and 979?

Answer: LCM of 975 and 979 is 954525.

2. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

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 975 and 979?

Answer:

Least Common Multiple of 975 and 979 = 954525

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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 = 954525 = 3 x 5 x 5 x 11 x 13 x 89

Step 4: Therefore, the least common multiple of 975 and 979 is 954525.