Least Common Multiple of 974 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 974 and 979 the smallest integer that is 953546 that is divisible by both numbers.

Least Common Multiple (LCM) of 974 and 979 is 953546.

LCM(974,979) = 953546

LCM of 974 and 979

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

LCM of:
and

Least Common Multiple of 974 and 979

LCM of 974 and 979 is 953546

Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 979. First we will calculate the prime factors of 974 and 979.

Prime Factorization of 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

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 974 and 979.

LCM(974,979) = 21×111×891×4871
LCM(974,979) = 953546

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Factors of 979

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

1, 11, 89, 979

Least Common Multiple of 974 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 974 and 979, than apply into the LCM equation.

GCF(974,979) = 1
LCM(974,979) = ( 974 × 979) / 1
LCM(974,979) = 953546 / 1
LCM(974,979) = 953546

Properties of LCM 974 and 979

(i) The LCM of 979 and 974 is associative

LCM of 974 and 979 = LCM of 979 and 974

Related Least Common Multiples of 974

Related Least Common Multiples of 979

Frequently Asked Questions on LCM of 974 and 979

1. What is the LCM of 974 and 979?

Answer: LCM of 974 and 979 is 953546.

2. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

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 974 and 979?

Answer:

Least Common Multiple of 974 and 979 = 953546

Step 1: Find the prime factorization of 974

974 = 2 x 487

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 = 953546 = 2 x 11 x 89 x 487

Step 4: Therefore, the least common multiple of 974 and 979 is 953546.