Feedback form
Hi! What do you think?

You can also email us on infocalculat.io

LCM for 10 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 24?

Answer

LCM of 10 and 24 is 120

(One hundred twenty)

Finding LCM for 10 and 24 using GCF of these numbers

The first method to find LCM for numbers 10 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 24 is 2, so

LCM = (10 × 24) ÷ 2

LCM = 240 ÷ 2

LCM = 120

Finding LCM for 10 and 24 by Listing Multiples

The second method to find LCM for numbers 10 and 24 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 24: 24, 48, 72, 96, 120, 144, 168

So the LCM for 10 and 24 is 120

Finding LCM for 10 and 24 by Prime Factorization

Another method to find LCM for numbers 10 and 24 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 24: 2, 2, 2, 3 (exponent form: 23, 31)

23 × 51 × 31 = 120

Related Calculations

See Also

Share This Calculation
Print
https://calculat.io/en/number/least-common-multiple-lcm-of/10--24Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/10--24">What is the LCM of 10 and 24? - Calculatio</a>Copy
Facebook
Twitter
Telegram
WhatsApp
Viber
Email
What is the LCM of 10 and 24?. The LCM of 10 and 24 is 120 — the smallest common multiple of both integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/10--24/generated.jpgCopy

LCM Table

Number 1Number 2LCM
10510
10840
1011110
101260
1013130
101470
101530
101680
101890
1019190
102020
1021210
1022110
1023230
1024120
102550
1027270
103030
1031310
1034170
103570
1036180
1038190
104040
1041410
1043430
1044220
104590
1046230
1048240

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 24? (The answer is: 120). Select the first number (e.g. '10') and the second number (e.g. '24'). 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

FAQ

What's the Least Common Multiple (LCM) of 10 and 24?

LCM of 10 and 24 is 120

How to find the LCM of 10 and 24 using prime factorization?

To find the LCM of 10 and 24, 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 24: LCM = 120, GCF = 2.

See Also