LCM for 20 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 24?

Answer

LCM of 20 and 24 is 120

(One hundred twenty)

Finding LCM for 20 and 24 using GCF of these numbers

The first method to find LCM for numbers 20 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 24 is 4, so

LCM = (20 × 24) ÷ 4

LCM = 480 ÷ 4

LCM = 120

Finding LCM for 20 and 24 by Listing Multiples

The second method to find LCM for numbers 20 and 24 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160

Multiples of 24: 24, 48, 72, 96, 120, 144, 168

So the LCM for 20 and 24 is 120

Finding LCM for 20 and 24 by Prime Factorization

Another method to find LCM for numbers 20 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

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 20 and 24? (The answer is: 120). Select the first number (e.g. '20') 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

LCM Table

Number 1Number 2LCM
201260
201560
2021420
2023460
2024120
2025100
2026260
2027540
2028140
2029580
203060
2032160
2033660
2034340
2035140
2036180
2039780
204040
2044220
2045180
2048240
2050100
20511020
20531060
2054540
2055220
2058580
206060
20100100
20125500

FAQ

What's the Least Common Multiple (LCM) of 20 and 24?

LCM of 20 and 24 is 120

How to find the LCM of 20 and 24 using prime factorization?

To find the LCM of 20 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 20 and 24: LCM = 120, GCF = 4.

See Also