LCM for 6 and 16

What's the Least Common Multiple (LCM) of 6 and 16?

Answer: LCM of 6 and 16 is 48

(Forty-eight)

Finding LCM for 6 and 16 using GCF's of these numbers

The first method to find LCM for numbers 6 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 16 is 2, so

LCM = (6 × 16) ÷ 2

LCM = 96 ÷ 2

LCM = 48

Finding LCM for 6 and 16 by Listing Multiples

The second method to find LCM for numbers 6 and 16 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Multiples of 16: 16, 32, 48, 64, 80

So the LCM for 6 and 16 is 48

Finding LCM for 6 and 16 by Prime Factorization

Another method to find LCM for numbers 6 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

24 × 31 = 48

LCM Table

Number 1Number 2LCM
11616
216
316
416
516
616
716
816
916
1016
1116
1216
1316
1416
1516
161616
1716272
1816144
1916304
201680
2116336
2216176
2316368
2416
2516400
2616208
2716432
2816112
2916464
3016240

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 6 and 16? (The answer is: 48). Select the first number (e.g. '6') and the second number (e.g. '16'). 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

FAQ

What's the Least Common Multiple (LCM) of 6 and 16?

LCM of 6 and 16 is 48