LCM for 30 and 36

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 36?

Answer: LCM of 30 and 36 is 180

(One hundred eighty)

Finding LCM for 30 and 36 using GCF's of these numbers

The first method to find LCM for numbers 30 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 36 is 6, so

LCM = (30 × 36) ÷ 6

LCM = 1080 ÷ 6

LCM = 180

Finding LCM for 30 and 36 by Listing Multiples

The second method to find LCM for numbers 30 and 36 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240

Multiples of 36: 36, 72, 108, 144, 180, 216, 252

So the LCM for 30 and 36 is 180

Finding LCM for 30 and 36 by Prime Factorization

Another method to find LCM for numbers 30 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)

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 36? (The answer is: 180). Select the first number (e.g. '30') and the second number (e.g. '36'). 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
1536180
1636144
1736612
183636
1936684
2036180
2136252
2236396
2336828
243672
2536900
2636468
2736108
2836252
29361044
3036180
31361116
3236288
3336396
3436612
35361260
363636
37361332
3836684
3936468
4036360
41361476
4236252
43361548
4436396

FAQ

What's the Least Common Multiple (LCM) of 30 and 36?

LCM of 30 and 36 is 180

See Also