Least Common Multiple of 977 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 977 and 979 the smallest integer that is 956483 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 979 is 956483.

LCM(977,979) = 956483

LCM of 977 and 979

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

LCM of:
and

Least Common Multiple of 977 and 979

LCM of 977 and 979 is 956483

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 979. First we will calculate the prime factors of 977 and 979.

Prime Factorization of 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

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 977 and 979.

LCM(977,979) = 111×891×9771
LCM(977,979) = 956483

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Factors of 979

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

1, 11, 89, 979

Least Common Multiple of 977 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 977 and 979, than apply into the LCM equation.

GCF(977,979) = 1
LCM(977,979) = ( 977 × 979) / 1
LCM(977,979) = 956483 / 1
LCM(977,979) = 956483

Properties of LCM 977 and 979

(i) The LCM of 979 and 977 is associative

LCM of 977 and 979 = LCM of 979 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 977 and 979

1. What is the LCM of 977 and 979?

Answer: LCM of 977 and 979 is 956483.

2. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

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 977 and 979?

Answer:

Least Common Multiple of 977 and 979 = 956483

Step 1: Find the prime factorization of 977

977 = 977

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 = 956483 = 11 x 89 x 977

Step 4: Therefore, the least common multiple of 977 and 979 is 956483.