Least Common Multiple of 362 and 370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 362 and 370 the smallest integer that is 66970 that is divisible by both numbers.

Least Common Multiple (LCM) of 362 and 370 is 66970.

LCM(362,370) = 66970

LCM of 362 and 370

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

LCM of:
and

Least Common Multiple of 362 and 370

LCM of 362 and 370 is 66970

Least common multiple can be found by multiplying the highest exponent prime factors of 362 and 370. First we will calculate the prime factors of 362 and 370.

Prime Factorization of 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 362 and 370.

LCM(362,370) = 21×51×371×1811
LCM(362,370) = 66970

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Least Common Multiple of 362 and 370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 370, than apply into the LCM equation.

GCF(362,370) = 2
LCM(362,370) = ( 362 × 370) / 2
LCM(362,370) = 133940 / 2
LCM(362,370) = 66970

Properties of LCM 362 and 370

(i) The LCM of 370 and 362 is associative

LCM of 362 and 370 = LCM of 370 and 362

Related Least Common Multiples of 362

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 362 and 370

1. What is the LCM of 362 and 370?

Answer: LCM of 362 and 370 is 66970.

2. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

3. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

4. How to Find the LCM of 362 and 370?

Answer:

Least Common Multiple of 362 and 370 = 66970

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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

LCM = 66970 = 2 x 5 x 37 x 181

Step 4: Therefore, the least common multiple of 362 and 370 is 66970.