LCM for 10 and 120

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 120?

Answer

LCM of 10 and 120 is 120

(One hundred twenty)

Finding LCM for 10 and 120 using GCF of these numbers

The first method to find LCM for numbers 10 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 120 is 10, so

LCM = (10 × 120) ÷ 10

LCM = 1200 ÷ 10

LCM = 120

Finding LCM for 10 and 120 by Listing Multiples

The second method to find LCM for numbers 10 and 120 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

Multiples of 120: 120, 240, 360

So the LCM for 10 and 120 is 120

Finding LCM for 10 and 120 by Prime Factorization

Another method to find LCM for numbers 10 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

23 × 51 × 31 = 120

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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 120? (The answer is: 120). Select the first number (e.g. '10') and the second number (e.g. '120'). 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
1120120
2120120
3120120
4120120
5120120
6120120
7120840
8120120
9120360
10120120
111201320
12120120
131201560
14120840
15120120
16120240
171202040
18120360
191202280
20120120
21120840
221201320
231202760
24120120
25120600
261201560
271201080
28120840
291203480
30120120

FAQ

What's the Least Common Multiple (LCM) of 10 and 120?

LCM of 10 and 120 is 120

How to find the LCM of 10 and 120 using prime factorization?

To find the LCM of 10 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

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 120: LCM = 120, GCF = 10.

See Also