Least Common Multiple of 43 and 46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 43 and 46 the smallest integer that is 1978 that is divisible by both numbers.

Least Common Multiple (LCM) of 43 and 46 is 1978.

LCM(43,46) = 1978

LCM of 43 and 46

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

LCM of:
and

Least Common Multiple of 43 and 46

LCM of 43 and 46 is 1978

Least common multiple can be found by multiplying the highest exponent prime factors of 43 and 46. First we will calculate the prime factors of 43 and 46.

Prime Factorization of 43


43 43
1

Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 431

Prime Factorization of 46


2 46
23 23
1

Prime factors of 46 are 2,23. Prime factorization of 46 in exponential form is:

46 = 21×231

Now multiplying the highest exponent prime factors to calculate the LCM of 43 and 46.

LCM(43,46) = 21×231×431
LCM(43,46) = 1978

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1, 43

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Least Common Multiple of 43 and 46 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43 and 46, than apply into the LCM equation.

GCF(43,46) = 1
LCM(43,46) = ( 43 × 46) / 1
LCM(43,46) = 1978 / 1
LCM(43,46) = 1978

Properties of LCM 43 and 46

(i) The LCM of 46 and 43 is associative

LCM of 43 and 46 = LCM of 46 and 43

Frequently Asked Questions on LCM of 43 and 46

1. What is the LCM of 43 and 46?

Answer: LCM of 43 and 46 is 1978.

2. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

3. What are the Factors of 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

4. How to Find the LCM of 43 and 46?

Answer:

Least Common Multiple of 43 and 46 = 1978

Step 1: Find the prime factorization of 43

43 = 43

Step 2: Find the prime factorization of 46

46 = 2 x 23

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

LCM = 1978 = 2 x 23 x 43

Step 4: Therefore, the least common multiple of 43 and 46 is 1978.