LCM for 10 and 75

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Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 10 and 75?

Answer

LCM of 10 and 75 is
150

(One hundred fifty)

Finding LCM for 10 and 75 using GCF of these numbers

The first method to find LCM for numbers 10 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 75 is 5, so

LCM = (10 × 75) ÷ 5

LCM = 750 ÷ 5

LCM = 150

Finding LCM for 10 and 75 by Listing Multiples

The second method to find LCM for numbers 10 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170

Multiples of 75: 75, 150, 225, 300

So the LCM for 10 and 75 is 150

Finding LCM for 10 and 75 by Prime Factorization

Another method to find LCM for numbers 10 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

21 × 52 × 31 = 150

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 10 and 75? (The answer is: 150). Select the first number (e.g. '10') and the second number (e.g. '75'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
1043430
1044220
104590
1046230
1048240
105050
1053530
1055110
1057570
1058290
1059590
106060
1065130
1066330
107070
1075150
108080
109090
1095190
1099990
10100100
10105210
10110110
10120120
10135270
10145290
10150150
10155310
10180180
10195390

FAQ

What's the Least Common Multiple (LCM) of 10 and 75?

LCM of 10 and 75 is 150

How to find the LCM of 10 and 75 using prime factorization?

To find the LCM of 10 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 150.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 75: LCM = 150, GCF = 5.

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