LCM for 30 and 165

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 165?

Answer

LCM of 30 and 165 is 330

(Three hundred thirty)

Finding LCM for 30 and 165 using GCF of these numbers

The first method to find LCM for numbers 30 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 165 is 15, so

LCM = (30 × 165) ÷ 15

LCM = 4950 ÷ 15

LCM = 330

Finding LCM for 30 and 165 by Listing Multiples

The second method to find LCM for numbers 30 and 165 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390

Multiples of 165: 165, 330, 495, 660

So the LCM for 30 and 165 is 330

Finding LCM for 30 and 165 by Prime Factorization

Another method to find LCM for numbers 30 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)

21 × 31 × 51 × 111 = 330

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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 30 and 165? (The answer is: 330). Select the first number (e.g. '30') and the second number (e.g. '165'). 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
15165165
161652640
171652805
18165990
191653135
20165660
211651155
22165330
231653795
241651320
25165825
261654290
271651485
281654620
291654785
30165330
311655115
321655280
33165165
341655610
351651155
361651980
371656105
381656270
391652145
401651320
411656765
421652310
431657095
44165660

FAQ

What's the Least Common Multiple (LCM) of 30 and 165?

LCM of 30 and 165 is 330

How to find the LCM of 30 and 165 using prime factorization?

To find the LCM of 30 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 330.

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 30 and 165: LCM = 330, GCF = 15.

See Also