Least Common Multiple of 43 and 45

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 45 the smallest integer that is 1935 that is divisible by both numbers.

Least Common Multiple (LCM) of 43 and 45 is 1935.

LCM(43,45) = 1935

LCM of 43 and 45

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

LCM of:
and

Least Common Multiple of 43 and 45

LCM of 43 and 45 is 1935

Least common multiple can be found by multiplying the highest exponent prime factors of 43 and 45. First we will calculate the prime factors of 43 and 45.

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 45


3 45
3 15
5 5
1

Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:

45 = 32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 43 and 45.

LCM(43,45) = 32×51×431
LCM(43,45) = 1935

Factors of 43

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

1, 43

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Least Common Multiple of 43 and 45 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 45, than apply into the LCM equation.

GCF(43,45) = 1
LCM(43,45) = ( 43 × 45) / 1
LCM(43,45) = 1935 / 1
LCM(43,45) = 1935

Properties of LCM 43 and 45

(i) The LCM of 45 and 43 is associative

LCM of 43 and 45 = LCM of 45 and 43

Related Least Common Multiples of 43

Related Least Common Multiples of 45

Frequently Asked Questions on LCM of 43 and 45

1. What is the LCM of 43 and 45?

Answer: LCM of 43 and 45 is 1935.

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 45?

Answer: Factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 integers that are factors of 45. The greatest factor of 45 is 45.

4. How to Find the LCM of 43 and 45?

Answer:

Least Common Multiple of 43 and 45 = 1935

Step 1: Find the prime factorization of 43

43 = 43

Step 2: Find the prime factorization of 45

45 = 3 x 3 x 5

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

LCM = 1935 = 3 x 3 x 5 x 43

Step 4: Therefore, the least common multiple of 43 and 45 is 1935.