LCM for 6 and 87

What's the Least Common Multiple (LCM) of 6 and 87?

Answer: LCM of 6 and 87 is 174

(One hundred seventy-four)

Finding LCM for 6 and 87 using GCF's of these numbers

The first method to find LCM for numbers 6 and 87 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 87 is 3, so

LCM = (6 × 87) ÷ 3

LCM = 522 ÷ 3

LCM = 174

Finding LCM for 6 and 87 by Listing Multiples

The second method to find LCM for numbers 6 and 87 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

Multiples of 87: 87, 174, 261, 348

So the LCM for 6 and 87 is 174

Finding LCM for 6 and 87 by Prime Factorization

Another method to find LCM for numbers 6 and 87 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 87: 3, 29 (exponent form: 31, 291)

21 × 31 × 291 = 174

Related Calculations

LCM Table

Number 1Number 2LCM
18787
287174
38787
487348
587435
687174
787609
887696
987261
1087870
1187957
1287348
13871131
14871218
1587435
16871392
17871479
1887522
19871653
20871740
2187609
22871914
23872001
2487696
25872175
26872262
2787783
28872436
298787
3087870

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 87? (The answer is: 174). Select the first number (e.g. '6') and the second number (e.g. '87'). 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 87?

LCM of 6 and 87 is 174