LCM for 8 and 30

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 30?

Answer: LCM of 8 and 30 is 120

(One hundred twenty)

Finding LCM for 8 and 30 using GCF's of these numbers

The first method to find LCM for numbers 8 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 30 is 2, so

LCM = (8 × 30) ÷ 2

LCM = 240 ÷ 2

LCM = 120

Finding LCM for 8 and 30 by Listing Multiples

The second method to find LCM for numbers 8 and 30 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136

Multiples of 30: 30, 60, 90, 120, 150, 180

So the LCM for 8 and 30 is 120

Finding LCM for 8 and 30 by Prime Factorization

Another method to find LCM for numbers 8 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

23 × 31 × 51 = 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 8 and 30? (The answer is: 120). Select the first number (e.g. '8') and the second number (e.g. '30'). 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
13030
23030
33030
43060
53030
63030
730210
830120
93090
103030
1130330
123060
1330390
1430210
153030
1630240
1730510
183090
1930570
203060
2130210
2230330
2330690
2430120
2530150
2630390
2730270
2830420
2930870
303030

FAQ

What's the Least Common Multiple (LCM) of 8 and 30?

LCM of 8 and 30 is 120

See Also