Least Common Multiple of 4624 and 4628

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 4628 the smallest integer that is 5349968 that is divisible by both numbers.

Least Common Multiple (LCM) of 4624 and 4628 is 5349968.

LCM(4624,4628) = 5349968

LCM of 4624 and 4628

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

LCM of:
and

Least Common Multiple of 4624 and 4628

LCM of 4624 and 4628 is 5349968

Least common multiple can be found by multiplying the highest exponent prime factors of 4624 and 4628. First we will calculate the prime factors of 4624 and 4628.

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 4628


2 4628
2 2314
13 1157
89 89
1

Prime factors of 4628 are 2, 13,89. Prime factorization of 4628 in exponential form is:

4628 = 22×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4624 and 4628.

LCM(4624,4628) = 24×131×172×891
LCM(4624,4628) = 5349968

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 4628

List of positive integer factors of 4628 that divides 4628 without a remainder.

1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628

Least Common Multiple of 4624 and 4628 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 4628, than apply into the LCM equation.

GCF(4624,4628) = 4
LCM(4624,4628) = ( 4624 × 4628) / 4
LCM(4624,4628) = 21399872 / 4
LCM(4624,4628) = 5349968

Properties of LCM 4624 and 4628

(i) The LCM of 4628 and 4624 is associative

LCM of 4624 and 4628 = LCM of 4628 and 4624

Related Least Common Multiples of 4624

Related Least Common Multiples of 4628

Frequently Asked Questions on LCM of 4624 and 4628

1. What is the LCM of 4624 and 4628?

Answer: LCM of 4624 and 4628 is 5349968.

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 4628?

Answer: Factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628. There are 12 integers that are factors of 4628. The greatest factor of 4628 is 4628.

4. How to Find the LCM of 4624 and 4628?

Answer:

Least Common Multiple of 4624 and 4628 = 5349968

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 4628

4628 = 2 x 2 x 13 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 = 5349968 = 2 x 2 x 2 x 2 x 13 x 17 x 17 x 89

Step 4: Therefore, the least common multiple of 4624 and 4628 is 5349968.