Least Common Multiple of 464 and 472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 464 and 472 the smallest integer that is 27376 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 472 is 27376.

LCM(464,472) = 27376

LCM of 464 and 472

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

LCM of:
and

Least Common Multiple of 464 and 472

LCM of 464 and 472 is 27376

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 472. First we will calculate the prime factors of 464 and 472.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

Prime Factorization of 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

Now multiplying the highest exponent prime factors to calculate the LCM of 464 and 472.

LCM(464,472) = 24×291×591
LCM(464,472) = 27376

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Least Common Multiple of 464 and 472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 464 and 472, than apply into the LCM equation.

GCF(464,472) = 8
LCM(464,472) = ( 464 × 472) / 8
LCM(464,472) = 219008 / 8
LCM(464,472) = 27376

Properties of LCM 464 and 472

(i) The LCM of 472 and 464 is associative

LCM of 464 and 472 = LCM of 472 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 464 and 472

1. What is the LCM of 464 and 472?

Answer: LCM of 464 and 472 is 27376.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

3. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

4. How to Find the LCM of 464 and 472?

Answer:

Least Common Multiple of 464 and 472 = 27376

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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

LCM = 27376 = 2 x 2 x 2 x 2 x 29 x 59

Step 4: Therefore, the least common multiple of 464 and 472 is 27376.