Least Common Multiple of 974 and 975

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 975 the smallest integer that is 949650 that is divisible by both numbers.

Least Common Multiple (LCM) of 974 and 975 is 949650.

LCM(974,975) = 949650

LCM of 974 and 975

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

LCM of:
and

Least Common Multiple of 974 and 975

LCM of 974 and 975 is 949650

Least common multiple can be found by multiplying the highest exponent prime factors of 974 and 975. First we will calculate the prime factors of 974 and 975.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 974 and 975.

LCM(974,975) = 21×31×52×131×4871
LCM(974,975) = 949650

Factors of 974

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

1, 2, 487, 974

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

Least Common Multiple of 974 and 975 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 975, than apply into the LCM equation.

GCF(974,975) = 1
LCM(974,975) = ( 974 × 975) / 1
LCM(974,975) = 949650 / 1
LCM(974,975) = 949650

Properties of LCM 974 and 975

(i) The LCM of 975 and 974 is associative

LCM of 974 and 975 = LCM of 975 and 974

Related Least Common Multiples of 974

Related Least Common Multiples of 975

Frequently Asked Questions on LCM of 974 and 975

1. What is the LCM of 974 and 975?

Answer: LCM of 974 and 975 is 949650.

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 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.

4. How to Find the LCM of 974 and 975?

Answer:

Least Common Multiple of 974 and 975 = 949650

Step 1: Find the prime factorization of 974

974 = 2 x 487

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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

LCM = 949650 = 2 x 3 x 5 x 5 x 13 x 487

Step 4: Therefore, the least common multiple of 974 and 975 is 949650.