Least Common Multiple of 630 and 632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 630 and 632 the smallest integer that is 199080 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 632 is 199080.

LCM(630,632) = 199080

LCM of 630 and 632

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

LCM of:
and

Least Common Multiple of 630 and 632

LCM of 630 and 632 is 199080

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 632. First we will calculate the prime factors of 630 and 632.

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Prime Factorization of 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 632.

LCM(630,632) = 23×32×51×71×791
LCM(630,632) = 199080

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Least Common Multiple of 630 and 632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 632, than apply into the LCM equation.

GCF(630,632) = 2
LCM(630,632) = ( 630 × 632) / 2
LCM(630,632) = 398160 / 2
LCM(630,632) = 199080

Properties of LCM 630 and 632

(i) The LCM of 632 and 630 is associative

LCM of 630 and 632 = LCM of 632 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 632

Frequently Asked Questions on LCM of 630 and 632

1. What is the LCM of 630 and 632?

Answer: LCM of 630 and 632 is 199080.

2. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

3. What are the Factors of 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

4. How to Find the LCM of 630 and 632?

Answer:

Least Common Multiple of 630 and 632 = 199080

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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

LCM = 199080 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 79

Step 4: Therefore, the least common multiple of 630 and 632 is 199080.