LCM for 30 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 180?

Answer

LCM of 30 and 180 is 180

(One hundred eighty)

Finding LCM for 30 and 180 using GCF of these numbers

The first method to find LCM for numbers 30 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 180 is 30, so

LCM = (30 × 180) ÷ 30

LCM = 5400 ÷ 30

LCM = 180

Finding LCM for 30 and 180 by Listing Multiples

The second method to find LCM for numbers 30 and 180 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

Multiples of 180: 180, 360, 540

So the LCM for 30 and 180 is 180

Finding LCM for 30 and 180 by Prime Factorization

Another method to find LCM for numbers 30 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 32 × 51 = 180

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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 180? (The answer is: 180). Select the first number (e.g. '30') and the second number (e.g. '180'). 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
15180180
16180720
171803060
18180180
191803420
20180180
211801260
221801980
231804140
24180360
25180900
261802340
27180540
281801260
291805220
30180180
311805580
321801440
331801980
341803060
351801260
36180180
371806660
381803420
391802340
40180360
411807380
421801260
431807740
441801980

FAQ

What's the Least Common Multiple (LCM) of 30 and 180?

LCM of 30 and 180 is 180

How to find the LCM of 30 and 180 using prime factorization?

To find the LCM of 30 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

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 180: LCM = 180, GCF = 30.

See Also