LCM for 9 and 24

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 24?

Answer

LCM of 9 and 24 is 72

(Seventy-two)

Finding LCM for 9 and 24 using GCF of these numbers

The first method to find LCM for numbers 9 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 24 is 3, so

LCM = (9 × 24) ÷ 3

LCM = 216 ÷ 3

LCM = 72

Finding LCM for 9 and 24 by Listing Multiples

The second method to find LCM for numbers 9 and 24 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

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

So the LCM for 9 and 24 is 72

Finding LCM for 9 and 24 by Prime Factorization

Another method to find LCM for numbers 9 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

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

32 × 23 = 72

Related Calculations

See Also

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 9 and 24? (The answer is: 72). Select the first number (e.g. '9') 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
9618
9763
9872
91090
91199
91236
913117
914126
91545
916144
917153
91818
920180
92163
922198
92472
925225
92727
928252
929261
93090
932288
93399
935315
93636
938342
939117
940360
941369
944396

FAQ

What's the Least Common Multiple (LCM) of 9 and 24?

LCM of 9 and 24 is 72

How to find the LCM of 9 and 24 using prime factorization?

To find the LCM of 9 and 24, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 9 and 24: LCM = 72, GCF = 3.

See Also