LCM for 6 and 66
What's the Least Common Multiple (LCM) of 6 and 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
About "Least Common Multiple" Calculator
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