Least Common Multiple of 37 and 45

Free LCM Calculator determines the least common multiple (LCM) between 37 and 45 the smallest integer that is 1665 that is divisible by both numbers.

Least Common Multiple (LCM) of 37 and 45 is 1665.

LCM(37,45) = 1665

LCM of 37 and 45

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

LCM of:
and

Least Common Multiple (LCM) of 37 and 45 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37 and 45. First we will calculate the prime factors of 37 and 45.

Prime Factorization of 37


37 37
1

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371

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 37 and 45.

LCM(37,45) = 32×51×371
LCM(37,45) = 1665

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1, 37

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 37 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 37 and 45, than apply into the LCM equation.

GCF(37,45) = 1
LCM(37,45) = ( 37 × 45) / 1
LCM(37,45) = 1665 / 1
LCM(37,45) = 1665

Properties of LCM 37 and 45

(i) The LCM of 45 and 37 is associative

LCM of 37 and 45 = LCM of 45 and 37

Frequently Asked Questions on LCM of 37 and 45

1. What is the LCM of 37 and 45?

Answer: LCM of 37 and 45 is 1665.

2. What are the Factors of 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

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 37 and 45?

Answer:

Least Common Multiple of 37 and 45 = 1665

Step 1: Find the prime factorization of 37

37 = 37

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 = 1665 = 3 x 3 x 5 x 37

Step 4: Therefore, the least common multiple of 37 and 45 is 1665.


Least Common Multiple of 37 and 45