LCM for 12 and 27

What's the Least Common Multiple (LCM) of 12 and 27?

Answer: LCM of 12 and 27 is 108

(One hundred eight)

Finding LCM for 12 and 27 using GCF's of these numbers

The first method to find LCM for numbers 12 and 27 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 27 is 3, so

LCM = (12 × 27) ÷ 3

LCM = 324 ÷ 3

LCM = 108

Finding LCM for 12 and 27 by Listing Multiples

The second method to find LCM for numbers 12 and 27 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132

Multiples of 27: 27, 54, 81, 108, 135, 162

So the LCM for 12 and 27 is 108

Finding LCM for 12 and 27 by Prime Factorization

Another method to find LCM for numbers 12 and 27 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

22 × 33 = 108

See Also

LCM Table

Number 1Number 2LCM
12727
22754
32727
427108
527
627
727189
827
927
1027
1127
1227
1327351
1427378
1527
1627
1727459
1827
1927513
2027540
2127189
2227594
2327621
2427216
2527
2627702
272727
2827756
2927783
3027270

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 12 and 27? (The answer is: 108). Select the first number (e.g. '12') and the second number (e.g. '27'). 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 12 and 27?

LCM of 12 and 27 is 108