Least Common Multiple of 946 and 953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 946 and 953 the smallest integer that is 901538 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 953 is 901538.

LCM(946,953) = 901538

LCM of 946 and 953

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

LCM of:
and

Least Common Multiple of 946 and 953

LCM of 946 and 953 is 901538

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 953. First we will calculate the prime factors of 946 and 953.

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 946 and 953.

LCM(946,953) = 21×111×431×9531
LCM(946,953) = 901538

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Least Common Multiple of 946 and 953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 946 and 953, than apply into the LCM equation.

GCF(946,953) = 1
LCM(946,953) = ( 946 × 953) / 1
LCM(946,953) = 901538 / 1
LCM(946,953) = 901538

Properties of LCM 946 and 953

(i) The LCM of 953 and 946 is associative

LCM of 946 and 953 = LCM of 953 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 953

Frequently Asked Questions on LCM of 946 and 953

1. What is the LCM of 946 and 953?

Answer: LCM of 946 and 953 is 901538.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

3. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the LCM of 946 and 953?

Answer:

Least Common Multiple of 946 and 953 = 901538

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

Step 2: Find the prime factorization of 953

953 = 953

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

LCM = 901538 = 2 x 11 x 43 x 953

Step 4: Therefore, the least common multiple of 946 and 953 is 901538.