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LCM for 30 and 40

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 40?

Answer

LCM of 30 and 40 is 120

(One hundred twenty)

Finding LCM for 30 and 40 using GCF of these numbers

The first method to find LCM for numbers 30 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 40 is 10, so

LCM = (30 × 40) ÷ 10

LCM = 1200 ÷ 10

LCM = 120

Finding LCM for 30 and 40 by Listing Multiples

The second method to find LCM for numbers 30 and 40 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

Multiples of 40: 40, 80, 120, 160, 200

So the LCM for 30 and 40 is 120

Finding LCM for 30 and 40 by Prime Factorization

Another method to find LCM for numbers 30 and 40 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 40: 2, 2, 2, 5 (exponent form: 23, 51)

23 × 31 × 51 = 120

Related Calculations

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What is the LCM of 30 and 40?. Find the LCM of 30 and 40 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1540120
164080
1740680
1840360
1940760
204040
2140840
2240440
2340920
2440120
2540200
2640520
27401080
2840280
29401160
3040120
31401240
3240160
33401320
3440680
3540280
3640360
37401480
3840760
39401560
404040
41401640
4240840
43401720
4440440

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 40? (The answer is: 120). Select the first number (e.g. '30') and the second number (e.g. '40'). 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

FAQ

What's the Least Common Multiple (LCM) of 30 and 40?

LCM of 30 and 40 is 120

How to find the LCM of 30 and 40 using prime factorization?

To find the LCM of 30 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

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 40: LCM = 120, GCF = 10.

See Also