LCM for 6 and 74

What's the Least Common Multiple (LCM) of 6 and 74?

Answer: LCM of 6 and 74 is 222

(Two hundred twenty-two)

Finding LCM for 6 and 74 using GCF's of these numbers

The first method to find LCM for numbers 6 and 74 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 74 is 2, so

LCM = (6 × 74) ÷ 2

LCM = 444 ÷ 2

LCM = 222

Finding LCM for 6 and 74 by Listing Multiples

The second method to find LCM for numbers 6 and 74 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, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234

Multiples of 74: 74, 148, 222, 296, 370

So the LCM for 6 and 74 is 222

Finding LCM for 6 and 74 by Prime Factorization

Another method to find LCM for numbers 6 and 74 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 74: 2, 37 (exponent form: 21, 371)

21 × 31 × 371 = 222

Related Calculations

LCM Table

Number 1Number 2LCM
17474
27474
374222
474148
574370
674222
774518
874296
974666
1074370
1174814
1274444
1374962
1474518
15741110
1674592
17741258
1874666
19741406
2074740
21741554
2274814
23741702
2474888
25741850
2674962
27741998
28741036
29742146
30741110

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 74? (The answer is: 222). Select the first number (e.g. '6') and the second number (e.g. '74'). 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 74?

LCM of 6 and 74 is 222