Least Common Multiple of 4624 and 4632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4624 and 4632 the smallest integer that is 2677296 that is divisible by both numbers.

Least Common Multiple (LCM) of 4624 and 4632 is 2677296.

LCM(4624,4632) = 2677296

LCM of 4624 and 4632

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

LCM of:
and

Least Common Multiple of 4624 and 4632

LCM of 4624 and 4632 is 2677296

Least common multiple can be found by multiplying the highest exponent prime factors of 4624 and 4632. First we will calculate the prime factors of 4624 and 4632.

Prime Factorization of 4624


2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 4624 are 2,17. Prime factorization of 4624 in exponential form is:

4624 = 24×172

Prime Factorization of 4632


2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 4632 are 2, 3,193. Prime factorization of 4632 in exponential form is:

4632 = 23×31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4624 and 4632.

LCM(4624,4632) = 24×31×172×1931
LCM(4624,4632) = 2677296

Factors of 4624

List of positive integer factors of 4624 that divides 4624 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632

Least Common Multiple of 4624 and 4632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4624 and 4632, than apply into the LCM equation.

GCF(4624,4632) = 8
LCM(4624,4632) = ( 4624 × 4632) / 8
LCM(4624,4632) = 21418368 / 8
LCM(4624,4632) = 2677296

Properties of LCM 4624 and 4632

(i) The LCM of 4632 and 4624 is associative

LCM of 4624 and 4632 = LCM of 4632 and 4624

Related Least Common Multiples of 4624

Related Least Common Multiples of 4632

Frequently Asked Questions on LCM of 4624 and 4632

1. What is the LCM of 4624 and 4632?

Answer: LCM of 4624 and 4632 is 2677296.

2. What are the Factors of 4624?

Answer: Factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624. There are 15 integers that are factors of 4624. The greatest factor of 4624 is 4624.

3. What are the Factors of 4632?

Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.

4. How to Find the LCM of 4624 and 4632?

Answer:

Least Common Multiple of 4624 and 4632 = 2677296

Step 1: Find the prime factorization of 4624

4624 = 2 x 2 x 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

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

LCM = 2677296 = 2 x 2 x 2 x 2 x 3 x 17 x 17 x 193

Step 4: Therefore, the least common multiple of 4624 and 4632 is 2677296.