Least Common Multiple of 940 and 946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 940 and 946 the smallest integer that is 444620 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 946 is 444620.

LCM(940,946) = 444620

LCM of 940 and 946

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

LCM of:
and

Least Common Multiple of 940 and 946

LCM of 940 and 946 is 444620

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 946. First we will calculate the prime factors of 940 and 946.

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 946.

LCM(940,946) = 22×51×111×431×471
LCM(940,946) = 444620

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Factors of 946

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

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

Least Common Multiple of 940 and 946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 946, than apply into the LCM equation.

GCF(940,946) = 2
LCM(940,946) = ( 940 × 946) / 2
LCM(940,946) = 889240 / 2
LCM(940,946) = 444620

Properties of LCM 940 and 946

(i) The LCM of 946 and 940 is associative

LCM of 940 and 946 = LCM of 946 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 946

Frequently Asked Questions on LCM of 940 and 946

1. What is the LCM of 940 and 946?

Answer: LCM of 940 and 946 is 444620.

2. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

3. 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.

4. How to Find the LCM of 940 and 946?

Answer:

Least Common Multiple of 940 and 946 = 444620

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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

LCM = 444620 = 2 x 2 x 5 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 940 and 946 is 444620.