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LCM for 40 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 60?

Answer

LCM of 40 and 60 is 120

(One hundred twenty)

Finding LCM for 40 and 60 using GCF of these numbers

The first method to find LCM for numbers 40 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 60 is 20, so

LCM = (40 × 60) ÷ 20

LCM = 2400 ÷ 20

LCM = 120

Finding LCM for 40 and 60 by Listing Multiples

The second method to find LCM for numbers 40 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 60: 60, 120, 180, 240

So the LCM for 40 and 60 is 120

Finding LCM for 40 and 60 by Prime Factorization

Another method to find LCM for numbers 40 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

23 × 51 × 31 = 120

Related Calculations

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What is the LCM of 40 and 60?. Find the LCM of 40 and 60 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
2560300
2660780
2760540
2860420
29601740
306060
31601860
3260480
3360660
34601020
3560420
3660180
37602220
38601140
3960780
4060120
41602460
4260420
43602580
4460660
4560180
46601380
47602820
4860240
49602940
5060300
51601020
5260780
53603180
5460540

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 40 and 60? (The answer is: 120). Select the first number (e.g. '40') and the second number (e.g. '60'). 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 40 and 60?

LCM of 40 and 60 is 120

How to find the LCM of 40 and 60 using prime factorization?

To find the LCM of 40 and 60, 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 40 and 60: LCM = 120, GCF = 20.

See Also