Least Common Multiple of 3464 and 3470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3464 and 3470 the smallest integer that is 6010040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3464 and 3470 is 6010040.

LCM(3464,3470) = 6010040

LCM of 3464 and 3470

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

LCM of:
and

Least Common Multiple of 3464 and 3470

LCM of 3464 and 3470 is 6010040

Least common multiple can be found by multiplying the highest exponent prime factors of 3464 and 3470. First we will calculate the prime factors of 3464 and 3470.

Prime Factorization of 3464


2 3464
2 1732
2 866
433 433
1

Prime factors of 3464 are 2,433. Prime factorization of 3464 in exponential form is:

3464 = 23×4331

Prime Factorization of 3470


2 3470
5 1735
347 347
1

Prime factors of 3470 are 2, 5,347. Prime factorization of 3470 in exponential form is:

3470 = 21×51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 3464 and 3470.

LCM(3464,3470) = 23×51×3471×4331
LCM(3464,3470) = 6010040

Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1, 2, 4, 8, 433, 866, 1732, 3464

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1, 2, 5, 10, 347, 694, 1735, 3470

Least Common Multiple of 3464 and 3470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3464 and 3470, than apply into the LCM equation.

GCF(3464,3470) = 2
LCM(3464,3470) = ( 3464 × 3470) / 2
LCM(3464,3470) = 12020080 / 2
LCM(3464,3470) = 6010040

Properties of LCM 3464 and 3470

(i) The LCM of 3470 and 3464 is associative

LCM of 3464 and 3470 = LCM of 3470 and 3464

Related Least Common Multiples of 3464

Related Least Common Multiples of 3470

Frequently Asked Questions on LCM of 3464 and 3470

1. What is the LCM of 3464 and 3470?

Answer: LCM of 3464 and 3470 is 6010040.

2. What are the Factors of 3464?

Answer: Factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464. There are 8 integers that are factors of 3464. The greatest factor of 3464 is 3464.

3. What are the Factors of 3470?

Answer: Factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470. There are 8 integers that are factors of 3470. The greatest factor of 3470 is 3470.

4. How to Find the LCM of 3464 and 3470?

Answer:

Least Common Multiple of 3464 and 3470 = 6010040

Step 1: Find the prime factorization of 3464

3464 = 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 3470

3470 = 2 x 5 x 347

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

LCM = 6010040 = 2 x 2 x 2 x 5 x 347 x 433

Step 4: Therefore, the least common multiple of 3464 and 3470 is 6010040.