Least Common Multiple of 45 and 47

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 45 and 47 the smallest integer that is 2115 that is divisible by both numbers.

Least Common Multiple (LCM) of 45 and 47 is 2115.

LCM(45,47) = 2115

LCM of 45 and 47

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

LCM of:
and

Least Common Multiple of 45 and 47

LCM of 45 and 47 is 2115

Least common multiple can be found by multiplying the highest exponent prime factors of 45 and 47. First we will calculate the prime factors of 45 and 47.

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

Prime Factorization of 47


47 47
1

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

Now multiplying the highest exponent prime factors to calculate the LCM of 45 and 47.

LCM(45,47) = 32×51×471
LCM(45,47) = 2115

Factors of 45

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

1, 3, 5, 9, 15, 45

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

Least Common Multiple of 45 and 47 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45 and 47, than apply into the LCM equation.

GCF(45,47) = 1
LCM(45,47) = ( 45 × 47) / 1
LCM(45,47) = 2115 / 1
LCM(45,47) = 2115

Properties of LCM 45 and 47

(i) The LCM of 47 and 45 is associative

LCM of 45 and 47 = LCM of 47 and 45

Related Least Common Multiples of 45

Related Least Common Multiples of 47

Frequently Asked Questions on LCM of 45 and 47

1. What is the LCM of 45 and 47?

Answer: LCM of 45 and 47 is 2115.

2. 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.

3. What are the Factors of 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the LCM of 45 and 47?

Answer:

Least Common Multiple of 45 and 47 = 2115

Step 1: Find the prime factorization of 45

45 = 3 x 3 x 5

Step 2: Find the prime factorization of 47

47 = 47

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

LCM = 2115 = 3 x 3 x 5 x 47

Step 4: Therefore, the least common multiple of 45 and 47 is 2115.