Least Common Multiple of 7450 and 7458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7450 and 7458 the smallest integer that is 27781050 that is divisible by both numbers.

Least Common Multiple (LCM) of 7450 and 7458 is 27781050.

LCM(7450,7458) = 27781050

LCM of 7450 and 7458

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

LCM of:
and

Least Common Multiple of 7450 and 7458

LCM of 7450 and 7458 is 27781050

Least common multiple can be found by multiplying the highest exponent prime factors of 7450 and 7458. First we will calculate the prime factors of 7450 and 7458.

Prime Factorization of 7450


2 7450
5 3725
5 745
149 149
1

Prime factors of 7450 are 2, 5,149. Prime factorization of 7450 in exponential form is:

7450 = 21×52×1491

Prime Factorization of 7458


2 7458
3 3729
11 1243
113 113
1

Prime factors of 7458 are 2, 3, 11,113. Prime factorization of 7458 in exponential form is:

7458 = 21×31×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7450 and 7458.

LCM(7450,7458) = 21×31×52×111×1131×1491
LCM(7450,7458) = 27781050

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458

Least Common Multiple of 7450 and 7458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7450 and 7458, than apply into the LCM equation.

GCF(7450,7458) = 2
LCM(7450,7458) = ( 7450 × 7458) / 2
LCM(7450,7458) = 55562100 / 2
LCM(7450,7458) = 27781050

Properties of LCM 7450 and 7458

(i) The LCM of 7458 and 7450 is associative

LCM of 7450 and 7458 = LCM of 7458 and 7450

Related Least Common Multiples of 7450

Related Least Common Multiples of 7458

Frequently Asked Questions on LCM of 7450 and 7458

1. What is the LCM of 7450 and 7458?

Answer: LCM of 7450 and 7458 is 27781050.

2. What are the Factors of 7450?

Answer: Factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450. There are 12 integers that are factors of 7450. The greatest factor of 7450 is 7450.

3. What are the Factors of 7458?

Answer: Factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458. There are 16 integers that are factors of 7458. The greatest factor of 7458 is 7458.

4. How to Find the LCM of 7450 and 7458?

Answer:

Least Common Multiple of 7450 and 7458 = 27781050

Step 1: Find the prime factorization of 7450

7450 = 2 x 5 x 5 x 149

Step 2: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

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

LCM = 27781050 = 2 x 3 x 5 x 5 x 11 x 113 x 149

Step 4: Therefore, the least common multiple of 7450 and 7458 is 27781050.