Least Common Multiple of 89118 and 89124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89118 and 89124 the smallest integer that is 1323758772 that is divisible by both numbers.

Least Common Multiple (LCM) of 89118 and 89124 is 1323758772.

LCM(89118,89124) = 1323758772

LCM of 89118 and 89124

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

LCM of:
and

Least Common Multiple of 89118 and 89124

LCM of 89118 and 89124 is 1323758772

Least common multiple can be found by multiplying the highest exponent prime factors of 89118 and 89124. First we will calculate the prime factors of 89118 and 89124.

Prime Factorization of 89118


2 89118
3 44559
3 14853
4951 4951
1

Prime factors of 89118 are 2, 3,4951. Prime factorization of 89118 in exponential form is:

89118 = 21×32×49511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 89118 and 89124.

LCM(89118,89124) = 22×32×71×10611×49511
LCM(89118,89124) = 1323758772

Factors of 89118

List of positive integer factors of 89118 that divides 89118 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118

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

Least Common Multiple of 89118 and 89124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89118 and 89124, than apply into the LCM equation.

GCF(89118,89124) = 6
LCM(89118,89124) = ( 89118 × 89124) / 6
LCM(89118,89124) = 7942552632 / 6
LCM(89118,89124) = 1323758772

Properties of LCM 89118 and 89124

(i) The LCM of 89124 and 89118 is associative

LCM of 89118 and 89124 = LCM of 89124 and 89118

Related Least Common Multiples of 89118

Related Least Common Multiples of 89124

Frequently Asked Questions on LCM of 89118 and 89124

1. What is the LCM of 89118 and 89124?

Answer: LCM of 89118 and 89124 is 1323758772.

2. What are the Factors of 89118?

Answer: Factors of 89118 are 1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559, 89118. There are 12 integers that are factors of 89118. The greatest factor of 89118 is 89118.

3. 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.

4. How to Find the LCM of 89118 and 89124?

Answer:

Least Common Multiple of 89118 and 89124 = 1323758772

Step 1: Find the prime factorization of 89118

89118 = 2 x 3 x 3 x 4951

Step 2: Find the prime factorization of 89124

89124 = 2 x 2 x 3 x 7 x 1061

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

LCM = 1323758772 = 2 x 2 x 3 x 3 x 7 x 1061 x 4951

Step 4: Therefore, the least common multiple of 89118 and 89124 is 1323758772.