Least Common Multiple of 89124 and 89132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89124 and 89132 the smallest integer that is 1985950092 that is divisible by both numbers.

Least Common Multiple (LCM) of 89124 and 89132 is 1985950092.

LCM(89124,89132) = 1985950092

LCM of 89124 and 89132

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

LCM of:
and

Least Common Multiple of 89124 and 89132

LCM of 89124 and 89132 is 1985950092

Least common multiple can be found by multiplying the highest exponent prime factors of 89124 and 89132. First we will calculate the prime factors of 89124 and 89132.

Prime Factorization of 89124


2 89124
2 44562
3 22281
7 7427
1061 1061
1

Prime factors of 89124 are 2, 3, 7,1061. Prime factorization of 89124 in exponential form is:

89124 = 22×31×71×10611

Prime Factorization of 89132


2 89132
2 44566
22283 22283
1

Prime factors of 89132 are 2,22283. Prime factorization of 89132 in exponential form is:

89132 = 22×222831

Now multiplying the highest exponent prime factors to calculate the LCM of 89124 and 89132.

LCM(89124,89132) = 22×31×71×10611×222831
LCM(89124,89132) = 1985950092

Factors of 89124

List of positive integer factors of 89124 that divides 89124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1061, 2122, 3183, 4244, 6366, 7427, 12732, 14854, 22281, 29708, 44562, 89124

Factors of 89132

List of positive integer factors of 89132 that divides 89132 without a remainder.

1, 2, 4, 22283, 44566, 89132

Least Common Multiple of 89124 and 89132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89124 and 89132, than apply into the LCM equation.

GCF(89124,89132) = 4
LCM(89124,89132) = ( 89124 × 89132) / 4
LCM(89124,89132) = 7943800368 / 4
LCM(89124,89132) = 1985950092

Properties of LCM 89124 and 89132

(i) The LCM of 89132 and 89124 is associative

LCM of 89124 and 89132 = LCM of 89132 and 89124

Related Least Common Multiples of 89124

Related Least Common Multiples of 89132

Frequently Asked Questions on LCM of 89124 and 89132

1. What is the LCM of 89124 and 89132?

Answer: LCM of 89124 and 89132 is 1985950092.

2. What are the Factors of 89124?

Answer: Factors of 89124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1061, 2122, 3183, 4244, 6366, 7427, 12732, 14854, 22281, 29708, 44562, 89124. There are 24 integers that are factors of 89124. The greatest factor of 89124 is 89124.

3. What are the Factors of 89132?

Answer: Factors of 89132 are 1, 2, 4, 22283, 44566, 89132. There are 6 integers that are factors of 89132. The greatest factor of 89132 is 89132.

4. How to Find the LCM of 89124 and 89132?

Answer:

Least Common Multiple of 89124 and 89132 = 1985950092

Step 1: Find the prime factorization of 89124

89124 = 2 x 2 x 3 x 7 x 1061

Step 2: Find the prime factorization of 89132

89132 = 2 x 2 x 22283

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

LCM = 1985950092 = 2 x 2 x 3 x 7 x 1061 x 22283

Step 4: Therefore, the least common multiple of 89124 and 89132 is 1985950092.