Least Common Multiple of 348 and 356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 348 and 356 the smallest integer that is 30972 that is divisible by both numbers.

Least Common Multiple (LCM) of 348 and 356 is 30972.

LCM(348,356) = 30972

LCM of 348 and 356

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

LCM of:
and

Least Common Multiple of 348 and 356

LCM of 348 and 356 is 30972

Least common multiple can be found by multiplying the highest exponent prime factors of 348 and 356. First we will calculate the prime factors of 348 and 356.

Prime Factorization of 348


2 348
2 174
3 87
29 29
1

Prime factors of 348 are 2, 3,29. Prime factorization of 348 in exponential form is:

348 = 22×31×291

Prime Factorization of 356


2 356
2 178
89 89
1

Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:

356 = 22×891

Now multiplying the highest exponent prime factors to calculate the LCM of 348 and 356.

LCM(348,356) = 22×31×291×891
LCM(348,356) = 30972

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Least Common Multiple of 348 and 356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 348 and 356, than apply into the LCM equation.

GCF(348,356) = 4
LCM(348,356) = ( 348 × 356) / 4
LCM(348,356) = 123888 / 4
LCM(348,356) = 30972

Properties of LCM 348 and 356

(i) The LCM of 356 and 348 is associative

LCM of 348 and 356 = LCM of 356 and 348

Related Least Common Multiples of 348

Related Least Common Multiples of 356

Frequently Asked Questions on LCM of 348 and 356

1. What is the LCM of 348 and 356?

Answer: LCM of 348 and 356 is 30972.

2. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

3. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

4. How to Find the LCM of 348 and 356?

Answer:

Least Common Multiple of 348 and 356 = 30972

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 356

356 = 2 x 2 x 89

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

LCM = 30972 = 2 x 2 x 3 x 29 x 89

Step 4: Therefore, the least common multiple of 348 and 356 is 30972.