Least Common Multiple of 37 and 44

Free LCM Calculator determines the least common multiple (LCM) between 37 and 44 the smallest integer that is 1628 that is divisible by both numbers.

Least Common Multiple (LCM) of 37 and 44 is 1628.

LCM(37,44) = 1628

LCM of 37 and 44

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

LCM of:
and

Least Common Multiple (LCM) of 37 and 44 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37 and 44. First we will calculate the prime factors of 37 and 44.

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 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Now multiplying the highest exponent prime factors to calculate the LCM of 37 and 44.

LCM(37,44) = 22×111×371
LCM(37,44) = 1628

Factors of 37

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

1, 37

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Least Common Multiple of 37 and 44 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 44, than apply into the LCM equation.

GCF(37,44) = 1
LCM(37,44) = ( 37 × 44) / 1
LCM(37,44) = 1628 / 1
LCM(37,44) = 1628

Properties of LCM 37 and 44

(i) The LCM of 44 and 37 is associative

LCM of 37 and 44 = LCM of 44 and 37

Frequently Asked Questions on LCM of 37 and 44

1. What is the LCM of 37 and 44?

Answer: LCM of 37 and 44 is 1628.

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 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

4. How to Find the LCM of 37 and 44?

Answer:

Least Common Multiple of 37 and 44 = 1628

Step 1: Find the prime factorization of 37

37 = 37

Step 2: Find the prime factorization of 44

44 = 2 x 2 x 11

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

LCM = 1628 = 2 x 2 x 11 x 37

Step 4: Therefore, the least common multiple of 37 and 44 is 1628.


Least Common Multiple of 37 and 44