LCM for 35 and 40

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 35 and 40?

Answer

LCM of 35 and 40 is 280

(Two hundred eighty)

Finding LCM for 35 and 40 using GCF of these numbers

The first method to find LCM for numbers 35 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 35 and 40 is 5, so

LCM = (35 × 40) ÷ 5

LCM = 1400 ÷ 5

LCM = 280

Finding LCM for 35 and 40 by Listing Multiples

The second method to find LCM for numbers 35 and 40 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360

So the LCM for 35 and 40 is 280

Finding LCM for 35 and 40 by Prime Factorization

Another method to find LCM for numbers 35 and 40 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 35: 5, 7 (exponent form: 51, 71)

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

51 × 71 × 23 = 280

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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 35 and 40? (The answer is: 280). Select the first number (e.g. '35') 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

LCM Table

Number 1Number 2LCM
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
4540360
4640920
47401880
4840240
49401960

FAQ

What's the Least Common Multiple (LCM) of 35 and 40?

LCM of 35 and 40 is 280

How to find the LCM of 35 and 40 using prime factorization?

To find the LCM of 35 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 280.

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 35 and 40: LCM = 280, GCF = 5.

See Also