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LCM for 4 and 17

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 4 and 17?

Answer

LCM of 4 and 17 is 68

(Sixty-eight)

Finding LCM for 4 and 17 using GCF of these numbers

The first method to find LCM for numbers 4 and 17 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 17 is 1, so

LCM = (4 × 17) ÷ 1

LCM = 68 ÷ 1

LCM = 68

Finding LCM for 4 and 17 by Listing Multiples

The second method to find LCM for numbers 4 and 17 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76

Multiples of 17: 17, 34, 51, 68, 85, 102

So the LCM for 4 and 17 is 68

Finding LCM for 4 and 17 by Prime Factorization

Another method to find LCM for numbers 4 and 17 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

All Prime Factors of 17: 17 (exponent form: 171)

22 × 171 = 68

Related Calculations

See Also

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What is the LCM of 4 and 17?. The LCM of 4 and 17 is 68 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
424
4312
4520
4612
4728
488
4936
41020
41144
41212
41352
41428
41560
41616
41768
41836
41976
42020
42184
42424
425100
42652
429116
43060
435140
43636
43876
44040
443172
44444

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 4 and 17? (The answer is: 68). Select the first number (e.g. '4') and the second number (e.g. '17'). 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 4 and 17?

LCM of 4 and 17 is 68

How to find the LCM of 4 and 17 using prime factorization?

To find the LCM of 4 and 17, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 68.

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 4 and 17: LCM = 68, GCF = 1.

See Also