Least Common Multiple of 974 and 976

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 976 the smallest integer that is 475312 that is divisible by both numbers.

Least Common Multiple (LCM) of 974 and 976 is 475312.

LCM(974,976) = 475312

LCM of 974 and 976

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

LCM of:
and

Least Common Multiple of 974 and 976

LCM of 974 and 976 is 475312

Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 976. First we will calculate the prime factors of 974 and 976.

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 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Now multiplying the highest exponent prime factors to calculate the LCM of 974 and 976.

LCM(974,976) = 24×611×4871
LCM(974,976) = 475312

Factors of 974

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

1, 2, 487, 974

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Least Common Multiple of 974 and 976 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 976, than apply into the LCM equation.

GCF(974,976) = 2
LCM(974,976) = ( 974 × 976) / 2
LCM(974,976) = 950624 / 2
LCM(974,976) = 475312

Properties of LCM 974 and 976

(i) The LCM of 976 and 974 is associative

LCM of 974 and 976 = LCM of 976 and 974

Related Least Common Multiples of 974

Related Least Common Multiples of 976

Frequently Asked Questions on LCM of 974 and 976

1. What is the LCM of 974 and 976?

Answer: LCM of 974 and 976 is 475312.

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 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. How to Find the LCM of 974 and 976?

Answer:

Least Common Multiple of 974 and 976 = 475312

Step 1: Find the prime factorization of 974

974 = 2 x 487

Step 2: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

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

LCM = 475312 = 2 x 2 x 2 x 2 x 61 x 487

Step 4: Therefore, the least common multiple of 974 and 976 is 475312.