What is the LCM of 9 and 78?

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What's the Least Common Multiple (LCM) of 9 and 78?

Answer: LCM of 9 and 78 is 234

(Two hundred thirty-four)

Finding LCM for 9 and 78 using GCF's of these numbers

The first method to find LCM for numbers 9 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 78 is 3, so

LCM = (9 × 78) ÷ 3

LCM = 702 ÷ 3

LCM = 234

Finding LCM for 9 and 78 by Listing Multiples

The second method to find LCM for numbers 9 and 78 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252

Multiples of 78: 78, 156, 234, 312, 390

So the LCM for 9 and 78 is 234

Finding LCM for 9 and 78 by Prime Factorization

Another method to find LCM for numbers 9 and 78 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 78: 2, 3, 13 (exponent form: 2¹, 3¹, 13¹)

3² × 2¹ × 13¹ = 234

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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 9 and 78? (The answer is: 234). Select the first number (e.g. '9') and the second number (e.g. '78'). 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

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LCM Table

Number 1	Number 2	LCM
1	78	78
2	78	78
3	78	78
4	78	156
5	78	390
6	78	78
7	78	546
8	78	312
9	78	234
10	78	390
11	78	858
12	78	156
13	78	78
14	78	546
15	78	390
16	78	624
17	78	1326
18	78	234
19	78	1482
20	78	780
21	78	546
22	78	858
23	78	1794
24	78	312
25	78	1950
26	78	78
27	78	702
28	78	1092
29	78	2262
30	78	390

LCM for 9 and 78

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 9 and 78?

Finding LCM for 9 and 78 using GCF's of these numbers

Finding LCM for 9 and 78 by Listing Multiples

Finding LCM for 9 and 78 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 9 and 78?

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