LCM for 6 and 66

What's the Least Common Multiple (LCM) of 6 and 66?

Answer: LCM of 6 and 66 is 66

(Sixty-six)

Finding LCM for 6 and 66 using GCF's of these numbers

The first method to find LCM for numbers 6 and 66 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 66 is 6, so

LCM = (6 × 66) ÷ 6

LCM = 396 ÷ 6

LCM = 66

Finding LCM for 6 and 66 by Listing Multiples

The second method to find LCM for numbers 6 and 66 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, 66, 72, 78

Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, [...], 66

So the LCM for 6 and 66 is 66

Finding LCM for 6 and 66 by Prime Factorization

Another method to find LCM for numbers 6 and 66 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 66: 2, 3, 11 (exponent form: 21, 31, 111)

21 × 31 × 111 = 66

Related Calculations

LCM Table

Number 1Number 2LCM
16666
26666
36666
466132
566330
666
766462
866264
966198
1066330
116666
1266132
1366858
1466462
1566330
1666528
17661122
1866198
19661254
2066660
2166462
2266
23661518
2466264
25661650
2666858
2766594
2866924
29661914
3066330

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 66? (The answer is: 66). Select the first number (e.g. '6') and the second number (e.g. '66'). 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 66?

LCM of 6 and 66 is 66