Least Common Multiple of 37 and 42

Free LCM Calculator determines the least common multiple (LCM) between 37 and 42 the smallest integer that is 1554 that is divisible by both numbers.

Least Common Multiple (LCM) of 37 and 42 is 1554.

LCM(37,42) = 1554

LCM of 37 and 42

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

LCM of:
and

Least Common Multiple (LCM) of 37 and 42 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37 and 42. First we will calculate the prime factors of 37 and 42.

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 42


2 42
3 21
7 7
1

Prime factors of 42 are 2, 3,7. Prime factorization of 42 in exponential form is:

42 = 21×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 37 and 42.

LCM(37,42) = 21×31×71×371
LCM(37,42) = 1554

Factors of 37

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

1, 37

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Least Common Multiple of 37 and 42 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 42, than apply into the LCM equation.

GCF(37,42) = 1
LCM(37,42) = ( 37 × 42) / 1
LCM(37,42) = 1554 / 1
LCM(37,42) = 1554

Properties of LCM 37 and 42

(i) The LCM of 42 and 37 is associative

LCM of 37 and 42 = LCM of 42 and 37

Frequently Asked Questions on LCM of 37 and 42

1. What is the LCM of 37 and 42?

Answer: LCM of 37 and 42 is 1554.

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 42?

Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.

4. How to Find the LCM of 37 and 42?

Answer:

Least Common Multiple of 37 and 42 = 1554

Step 1: Find the prime factorization of 37

37 = 37

Step 2: Find the prime factorization of 42

42 = 2 x 3 x 7

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

LCM = 1554 = 2 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 37 and 42 is 1554.


Least Common Multiple of 37 and 42