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Least Common Multiple of 30 and 37

Free LCM Calculator determines the least common multiple (LCM) between 30 and 37 the smallest integer that is 1110 that is divisible by both numbers.

Least Common Multiple (LCM) of 30 and 37 is 1110.

LCM(30,37) = 1110

LCM of 30 and 37

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

LCM of:
and

Least Common Multiple (LCM) of 30 and 37 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30 and 37. First we will calculate the prime factors of 30 and 37.

Prime Factorization of 30


2 30
3 15
5 5
1

Prime factors of 30 are 2, 3,5. Prime factorization of 30 in exponential form is:

30 = 21×31×51

Prime Factorization of 37


37 37
1

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

37 = 371

Now multiplying the highest exponent prime factors to calculate the LCM of 30 and 37.

LCM(30,37) = 21×31×51×371
LCM(30,37) = 1110

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Factors of 37

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

1, 37

Least Common Multiple of 30 and 37 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30 and 37, than apply into the LCM equation.

GCF(30,37) = 1
LCM(30,37) = ( 30 × 37) / 1
LCM(30,37) = 1110 / 1
LCM(30,37) = 1110

Properties of LCM 30 and 37

(i) The LCM of 37 and 30 is associative

LCM of 30 and 37 = LCM of 37 and 30

Frequently Asked Questions on LCM of 30 and 37

1. What is the LCM of 30 and 37?

Answer: LCM of 30 and 37 is 1110.

2. What are the Factors of 30?

Answer: Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. There are 8 integers that are factors of 30. The greatest factor of 30 is 30.

3. 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.

4. How to Find the LCM of 30 and 37?

Answer:

Least Common Multiple of 30 and 37 = 1110

Step 1: Find the prime factorization of 30

30 = 2 x 3 x 5

Step 2: Find the prime factorization of 37

37 = 37

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

LCM = 1110 = 2 x 3 x 5 x 37

Step 4: Therefore, the least common multiple of 30 and 37 is 1110.